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Speeding Ticket: CR4 Challenge (03/24/09)

Posted March 22, 2009 5:01 PM

This week's Challenge Question:

You are traveling at 40 miles per hour in your old Camaro and hit the brakes to stop your car. The Camaro stops after traveling 50 feet. Now you are traveling in the same road at 75 miles per hour. There is an intersection at 150 feet ahead of you whose traffic light just turned red. You hit the brakes. Would you be able to stop in time, or would you get a speeding ticket?

And the Answer is...

The stopping distance is determined by the force of friction between the road and the tires of the car. The force of friction produces the Work to change the velocity of the vehicle, according to the work-energy equation


In the above equation Fd is the friction work; d is the distance that this friction force is applied (the stopping distance), vo is the initial speed, or the speed at the moment of pushing the brake, v is the final velocity, and m is the mass of the car. If the car stops then v = 0. Solving for d in this equation yields


The negative sign indicates that as a consequence of applying the friction force the speed diminishes. It is clear that the stopping speed is directly proportional to the square of the initial speed. The quantities m and F are constants for this situation.

To calculate the stopping distance when you travel at 75 mph let's write a ratio using the two speed and solve for the second distance, as follows


Substitute d1=50, v1 = 40, and v2 = 75 to get

d2 = 175.8 feet.


Certainly, you will get a speeding ticket!


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#1

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 9:48 AM

The kinetic energy of the car increases as v^2 so the stopping distance will be (75/40)^2 * (50) = 176 ft. You've got a serious problem on your hands.

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#91
In reply to #1

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 2:14 PM

Concur with stevem. Using Torricelli's Equation, one can solve for the deceleration from the first scenario. Using Torricelli's equation again, one can solve for the distance using the deceleration from the first scenario. Assuming constant braking between the two scenarios, no reaction time and no brake fade this will give us a minimum distance (ideal case). The resulting distance is 175.8 foot which is greater than 150 foot. If the traffic light has been timed for the road speed limit, the driver is speeding.

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#93
In reply to #91

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 2:40 PM

Again, assuming an ideal case, one's speed would have to be below 69.3 mph to stop in 150 foot.

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#2

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 9:52 AM

".....would you stop or get a speeding ticket...."

Better add to that.... have a crash!!

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#3

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 11:09 AM

That would be a coefficient for friction of at least 1.1, so the first distance must have been measured from when the brakes were actually applied. SteveM is right - you would overshoot by at least 26-ft (at what point do old Camaro brakes fade??).

As to personal consequences, that depends. If the other road was clear and someone with similarly bad habits accelerated when they saw the lights change, you could both be badly hurt. If you avoid accident but are caught, you should be taken to court for dangerous driving; if there was a speed limit below 75 mph on that section of road that would be a subsidiary offence (names etc. of offences may vary).

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#4

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 11:34 AM

If you were unable to stop in time, you would get a ticket for running the red light. Not speeding.

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#6
In reply to #4

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 11:50 AM

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#5

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 11:48 AM

75 MPH = 110 FPS (feet per second)

Reaction time = 1.5 second (The state of Oregon says it varies from .75 to 2 seconds)

No way you can stop in time.

A speeding ticket would depend on the speed limit.

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#19
In reply to #5

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 12:16 AM

I've seen 70 mph on many an interstate, but where can you drive 75?

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#23
In reply to #19

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 1:36 AM

You can drive 75 mph in NV, UT, AZ, ID, MT, ND, SD, NE and in TX upon a few remote stretches of highway at 80 mph. Where have you been or not...

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#35
In reply to #19

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 5:16 AM

In the UK, the Highway code doesn't seem to apply to many motorcycles....

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#36
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 5:19 AM

Or BMW drivers, come to think of it...

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#37
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 5:27 AM

... or "White Van" drivers ...

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#125
In reply to #36

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/25/2009 8:08 AM

I suppose if the sat. nav. had told him to put his head in a fire.....

http://uk.news.yahoo.com/5/20090325/tuk-driver-led-to-100ft-cliff-edge-by-sa-45dbed5.html

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#41
In reply to #19

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 7:45 AM

75 in Colorado . . . but you would not encounter a traffic light!

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#110
In reply to #19

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 9:39 PM

There are lots of places where the speed limit is 75 mph.

The question in my opinion is where are the roads with a 75 mph speed limit and traffic lights that change directly from green to red? Also, where is stopping distance admissible evidence of speed?

I can see getting a ticket for running a red light, but for speeding?

I am not a lawyer nor am I in the habit of getting or fighting speeding tickets on a regular basis.

Gordie

PS I read a comment once by a guy who got off a speeding charge because the prosecution didn't know about 'cosine error'. The radar gun was out of the line of travel of the defendants car therefore in registered a different speed than the car's actual speed. I wonder if the authorities ever figured out that the error was to the defendants advantage and therefore no defence. I wonder if the speeder knew. He didn't say, but the tone of his comment implied that he thought the error was to the policeman's advantage.

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#112
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 10:16 PM

Take slant on this: say you are driving the whatever the speed limit may be on approach to properly signed intersection and did not use due caution. You instead ignored the warning signs and proceeded a full highway speed when the signal changed to yellow but you can't slow in time and cross the crosswalk at 35+mph striking and killing a pelican or even a clean miss yet; you could be effectively prosecuted for exceeding a safe speed for the conditions if your speed were clocked and documented.

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#124
In reply to #110

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/25/2009 6:24 AM

"He didn't say, but the tone of his comment implied that he thought the error was to the policeman's advantage"

Would you admit to misleading the court - even in retrospect?

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#123
In reply to #19

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/25/2009 6:15 AM

Last time I was through there, Interstate 70 in eastern Colorado, the speed limit was 75. :)

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#128
In reply to #19

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/26/2009 3:14 PM

All states I have been in East of the pacific coast states aka Idaho, Wyoming, Utah, Colorado, New Mexico, Arizona. Not sure about Nevada. It has been many years since I have been to that state.

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#129
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/26/2009 3:33 PM

Good Luck if you get there, Ky.

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#131
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/26/2009 5:50 PM

Texas. -- JHF

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#56
In reply to #5

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 10:02 AM

Actually, there may be a bit more to it than simple braking.

In the first instance of a 'normal' stop from a moderate speed (40 mph), the driver applies the brake and waits to engage the clutch only as the car comes to a stop, assuming the car has a manual transmission. If the car had an automatic (yeah, there might be some guys who'd drive a Camaro with a automatic) the drivetrain remains engaged as the transmission downshifts during the braking. In either case, no (or very little) dynamic braking is used.

In the second instance of a 'panic' stop from a high speed (75 mph), a smart driver could quickly downshift to 3rd or 2nd gear while braking, making the engine 'rev' and absorb some of the kinetic energy, again assuming the car had a manual transmission. Or, if the car had an automatic transmission, the selector could be shoved into 3rd or 2nd gear, forcing the transmission into a lower gear to use engine braking, then slipping the car into neutral at the end to ensure there is no power sent to the drive wheels.

Dynamic braking only needs to remove 1 mph from his initial speed to stop within the remaining distance: (69/40)2 * 50 = 148.8 feet.

If it were a matter of simple braking, then NO, the driver would not have time to stop and he could get a ticket for a 'failure to yield' when he ran through the red light (but NOT for speeding.)

With dynamic braking an experienced driver should be able to stop in time to avoid running the light.

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#58
In reply to #56

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 10:29 AM

No wonder there are so many accidents when so many people believe this sort of thing.

With 1.1 g deceleration, your limit is the tyres, not the brakes. If there is a limit from the brakes themselves (fading?), it will be much worse braking from 75 than it was from 40.

Slowing using the engine on just two wheels will make the braking load more uneven between front and rear, so it will be even less effective to stop you than using just the brakes.

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#62
In reply to #56

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 10:38 AM

Kinsale,

Guest is correct.

Actually including 'downshifting as a braking means' causes a counter-productive scenario:

much more braking potential added to the drive axle compromising the braking compensation mechanisms - resulting in probable loss of control; especially if any debris or slick spot.

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#77
In reply to #62

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 11:28 AM

Guest and bwire -

You're both answering problems that were not part of the original scenario. There was no mention of slick spots or debris. There was no mention of the brakes fading or the tires (or tyres) slipping.

If these were part of the original question your points might be valid. One could take these discussions far afield discussing, say, the stopping ability of front disk/rear drum vs all-disk brakes on car and the differences in handling for older rear-wheel drive cars (like old Camaros) vs most newer front-wheel drive cars, and so forth.

But taking the scenario as it is given, the point I'm making is that using the engine to absorb enough energy to reduce the speed by as little as 1 mph allows the car to stop within the required distance. (The only assumptions I make are the non-complicating ones of dry pavement, uniform road surface, no obstacles, etc.)

Experienced drivers who understand the technique know that it can work under similar circumstances of dry pavement, uniform road surface, etc.

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#79
In reply to #77

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 11:42 AM

There is no mention of the brake system being a limit either. So you only have the numbers to guide you. These give a deceleration of 1.1 g. That tells that the braking is already close to the limit set by the tyres, and that the braking had to be well balanced between front and back. Anything you do that unbalances the effect of the brakes between front and back can only make matters worse. The only conditions under which engine braking can reduce braking distances on a two-wheel-drive vehicle are either where the brakes are incapable of providing as much deceleration as the tyres (or tires), or where the brakes apply a disproportionate force to the non-driven wheels (so braking using the engine improves the balance). Neither of these is likely if the brakes worked this well in the first instance.

(It is possible the engine would help if the brakes on the driven wheels fade when used from 75 mph, but the best you could hope for would be to restore performance equivalent to the original, not to improve on it.)

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#80
In reply to #77

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 12:01 PM

Kinsale,

It was my way of expressing disagreement of your assertion specifically as the nature of your statement had veered slightly off subject I hadn't corrected your bent.

I appreciate your implication, though your assertion is inaccurate.

If you take note when professional drivers reduce speed they use the brakes only; no downshifting (romanticising) until after the controlled speed reduction need has passed, then downshift to accelerate.

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#158
In reply to #62

Re: Speeding Ticket: CR4 Challenge (03/24/09)

04/21/2009 12:49 PM

Actually downshifting is a form of engine brake which most certainly is an effective means of shedding forward momentum. This coupled with judicious use of the brakes will certainly allow stopping in the required distance. As a motorcyclist, dirt track race car driver and hauling heavy loads, I have first hand experience.

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#160
In reply to #158

Re: Speeding Ticket: CR4 Challenge (03/24/09)

04/21/2009 3:49 PM

The engine can be an effective form of braking. And it can allow the friction brakes to be used for longer without fading. But engine braking is not magic; so when the stopping distance is limited by the adhesion of the tires rather than by fading brakes there is no way it will reduce the distance - and the unevenness of the engine force as the engine speed changes and/or you change gear plus the fact that the engine must unbalance the distribution between front and rear wheels can only increase the overall stopping distance (as compared with optimally applied friction brakes).

If you can't believe this, try experimenting somewhere that there is no other traffic - but not on a motorbike. Attain a known steady speed and try stopping in as short a distance as possible using your brakes only. If you have done this well the wheels should never lock but there should be continuous rubber-marks from the point at which you started to brake. Then repeat it with the addition of engine braking, if you do this really well you may again achieve continuous rubber marks (though I think you will find that it is much more difficult, and the marks will probably be due to the driven wheels only) - now measure the distance from the point at which you started to brake.
(Even better, get two friends to help in the test, one to drive alongside you, and the other to signal when you should brake. First time, you use the brakes only, friend uses the engine as well; second time, you swap methods (but not vehicles). As you start side by side, all you need to look at is the finishing positions.

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#133
In reply to #56

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/26/2009 8:54 PM

Is it possible to use what you call dynamic braking in a real emergency braking situation? I do not think so. Anyway, It (dynamic braking) does not increases ability to brake, I think good brakes do the same job but better.

I wait for your comments

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#137
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/31/2009 9:50 AM

Truckers use a form of dynamic braking called 'jake braking' that uses the engine and exhaust system to slow down their trucks. Some truckers will use it instead or, or in addition to, regular braking, but it is a noisy system and is banned in many cities due to this noise.

(Professional drivers, such as NASCAR or Indy car drivers don't use this for the simple reason that it's hard on the engine and transmission and brake pads are cheaper than engines or transmissions.)

Would it stop a truck in an emergency situation better than just using the brakes alone? Under most real-world situations, with the brakes, tires, and road all in good conditions, no. In a case where the brakes have failed, it would at least slow down the truck to minimize an impending crash. A trucker that has to use an emergency stopping ramp on a mountain road uses this system to reduce his speed.

I suggested using dynamic braking to knock-off one or two miles per hour, to allow the stopping distance to get under 150 feet. If one assumes the brakes and tires are already at their maximum limits under the first condition of stopping in 50 feet from 40 mph (which is unrealistic, since this means the tire rolling friction constant has to be around 1.08, whereas it is typically around 0.8) then dynamic braking would do no good. But since the value of 1.08 is unrealistic, then one can assume any value for the tire rolling friction, so say it's closer to 1.27 (granted this is even more unrealistic). This means that the original scenario was not a panic stop. In which case, dynamic braking could be used to slow the car down by a few miles an hour as the braking commences, and the car could stop within 150 feet.

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#138
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/31/2009 10:49 AM

If you believe the Camaro could achieve shorter stopping distance by using "dynamic braking", I am going to state that the Camaro could stop, if he used his parachute.

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#139
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/31/2009 11:20 AM

You've said the same thing many times, but not apparently taken the trouble to answer the points made in the posts that were addressed to you. Specifically, they have shown that the braking rates must have been at or very close to (possibly even beyond) the limits of a Camaro's tyre adhesion, making it a reasonable assumption that the challenge intended the reference to the shortest stop possible from 40 mph with the specific vehicle. Clearly engine (or dynamic) braking acts through the tyres, so it can at best do the same job that perfect brakes would do. If there is a problem with the brakes fading when braking from 75-mph (it's an old Camaro, after all), engine braking could reduce the overshoot; but it can't improve on the capability of the tyres.

I'm probably being unfair, but your contribution reads as if you are expecting to knock-off the first couple of miles per hour using dynamic braking without the truck covering any ground while you are doing this.

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#142
In reply to #139

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/31/2009 12:54 PM

Well, there's no question that the braking system was already beyond its realistic limits. The stopping distance is given by d= v2 / (2 μ g). For a v of about 59 ft/sec, g of 32ft/sec2 and using a realistic μ value of 0.8 (for brand-new tires) the original stopping distance should have been 68 feet, not 50 feet. And in the second scenario the true stopping distance would have been 236 feet, not 176 feet.

So given that the original value for μ was unrealistic, it is improper to conclude that the tires and brakes were already at their limits. I chose to address the problem from a different viewpoint, to let the engine absorb some of the energy. Certainly, if the tires were at their stopping limits, downshifting would have caused them to skid, and the situation wold have worsened; but they were already past this point in the first situation of stopping from 40 mph; yet magically the car stopped.

Must have been that parachute that bob c deployed! (Good comment, bob c. I like your sense of humor.)

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#143
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/31/2009 4:42 PM

but they were already past this point in the first situation of stopping from 40 mph; yet magically the car stopped.

If only that were true, but of course it is not. The Ferrari from the test for which I provided the link does not stop by magic.

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#144
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/31/2009 4:46 PM

As a European who frequently drives in Essex, I wouldn't feel safe driving a vehicle that was incapable of stopping from 40-mph in less than 50-ft in dry conditions (both the family cars will do this). However, neither is an elderly Camaro - but you could doubtless fit tyres to the Camaro that would stop in that distance (the spelling is to emphasise that standard European ones are more likely to do this than US ones).

Naturally, I have no objection to unconventional takes on these topics, provided that any improbable assumptions are explicit from the beginning. In this case they would need to be that the tyres have an coefficient of friction with the ground of 1.7, but that the initial information was not the shortest stop possible. Of course, that is equivalent to a 139 foot stopping distance using the brakes, but you have allowed extra distance to allow for the problems associated with "dynamic" braking.

N.B. I agree that dynamic braking has its place - on very long downhills it will reduce the load on the braking system without stressing anything else, and it is useful if the brakes fade (more applicable to trucks - never yet a problem with my cars). I also use it when coming up to roundabouts - not because it is an effective way to brake*, but easing off early is an economical way to drive, and it leaves the car in the correct gear for leaving the roundabout.
*It's actually very ineffective with any engine management system that times the valves so the cylinders are maintained empty.

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#141
In reply to #137

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/31/2009 12:49 PM

(Professional drivers, such as NASCAR or Indy car drivers don't use this for the simple reason that it's hard on the engine and transmission and brake pads are cheaper than engines or transmissions.)

Speaking as someone who has raced and won at the national level, I can say that this is utter hogwash. About half the time in racing motorcycles, we didn't even use the clutch for shifting. We didn't give a hoot about what was hard on the engine or transmission, we just wanted to win, and would routinely abuse the engine to do so. In 2000 miles of endurance racing (in 24 hour road races) we could convert a brand new, custom-built, lovingly hand-assembled engine to virtual scrap. In the GP class, one could accomplish this feat in about three 50 mile races.

We used the brakes (which could easily over-power the tires) to slow down, and the engine to go faster, remarkable as that may seem to you.

It is far easier and faster around the track to modulate braking force to the limit of traction with the brakes, than to add three or four pulses of additional retarding torque to the rear wheel (or wheels) causing brief skids, slight perturbations in directional control (leading to longer slowing distances), the need to back off slightly on the brakes at each downshift, etc. Motorcycle racers are very cautious with the rear wheel brake, because the load is so low under heavy braking (most sporty bikes these day being capable of "brakies" -- lifting the rear wheel entirely off the road from brake reaction) that skids can easily be invoked by the rear brake or a careless downshift. The same dynamics apply to cars, but the forward weight transfer is less dramatic, because of the lower CG.

If one assumes the brakes and tires are already at their maximum limits under the first condition of stopping in 50 feet from 40 mph (which is unrealistic, since this means the tire rolling friction constant has to be around 1.08, whereas it is typically around 0.8)

You would do well to read other posts, and perhaps do a reality check with real data. If you glance through this test, you will see that the Ferrari stops from 60 mph in 107 feet, implying that it can stop from 40 in about 47 feet. (We can add 3 feet for the difference in aerodynamic effects. This addition however, is probably more than adequate, as you can sense by disengaging the clutch at 60 mph in a reasonably slippery car like the Ferrari: the deceleration is just barely perceptible.)

If you are still capable of driving, and drive a car from the last 30 years or so, you can prove to yourself that the brakes can easily overcome the traction of the tires. Police use this fact to estimate speeds based on length of skid marks.

In which case, dynamic braking could be used to slow the car down by a few miles an hour as the braking commences, and the car could stop within 150 feet.

Tests by Mercedes and others have shown that the typical driver response is to apply the brakes too gently at first in a panic stop. Thus they came up with Brake Assist. Using "dynamic braking" as you call it, will lengthen stopping distances. Even the Ferrari, which can stop from 40 mph in 50 feet, cannot stop from 75 mph in 150 feet, no matter what technique you may imagine will shorten stopping distances.

In which case, dynamic braking could be used to slow the car down by a few miles an hour as the braking commences,

It would be profoundly bad driving technique to use "dynamic braking" (i.e mucking around with the clutch and shifter) especially in the first second of a stop. I hope you don't practice this kind of thinking when you are driving. When you need to stop quickly, hit the brakes hard and fast. This is true even when you are 20 and have quick reactions, but even more important as you age.

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#155
In reply to #5

Re: Speeding Ticket: CR4 Challenge (03/24/09)

04/14/2009 12:48 PM

If you had zero reaction time you could not stop before you got to the light. I agree that 75 MPH equals 110 feet per second and your reaction time would also keep you from getting stopped before going through the RED light. However, you might get a ticket for speeding if your speed was picked up by radar. However, the most likely ticket that you would not be able to get out of would be a ticket for running a red light.

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#7

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 12:18 PM

I had a 1967 Camero. The only way I could have stopped it in 50 feet from 40 mph would have been to hit a solid wall. Stopping that fast would appear to require decelleration at over 3 g's. I don't think there is any car that could do that without retrorockets.

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#8
In reply to #7

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 1:03 PM

Hi Jim - you had me worried, but I think:

Start speed = 40-mph ≈ 59-ft/sec
Constant deceleration to zero → average speed ≈29.33-ft/sec
Time to stop = distance/average_speed ≈1.7-sec
Acceleration = original_speed/time ≈34.4-ft/sec2 ≈1.1-gn

Still better deceleration than I would anticipate from an unmodified early Camero - but that is without any specific knowledge of the breed.

Regards

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#9
In reply to #8

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 1:23 PM

I sure hate it when my errors show up for all to see. Your right. 1.1 g's is way to much for my old Camero.

Thanks,

Jim

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#10
In reply to #9

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 2:40 PM

Hi Jim

We all make slips. Credit is due to those who can admit to them.
BTW, the reason for my incredulity was that a current BoxsterS (which is reputed to have the shortest braking distances of any standard road car) requires about 48-ft to decelerate from 40mph to zero.

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#55
In reply to #9

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 9:52 AM

I think your answer was just fine, as it was. The cognoscenti all know that today is "divide by 2.73 day" (a.k.a. "divide by (1+ (3.5)) day".)

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#87
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 1:33 PM

This is an obvious give away that I am not a cognoscenti but I had to look up cognoscenti  (persons who have superior knowledge and understanding of a particular field). Some one who makes a sign error and uses 1 + ½ instead of 1 – ½ does not qualify. I consider myself more a jack of all trades, master of none.

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#153
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

04/10/2009 5:44 AM

Did Your '67 have disc, or drum brakes up front?

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#11

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 3:03 PM

There is nothing to say that the speed limit is not 75mph in the question even so they don't give tickets for speeding for running a red light.

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#67
In reply to #11

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 10:48 AM

Yes, more likely 'failure to maintain control due to excessive speed for the conditions' greater fine that way

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#12

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 7:58 PM

Is this a level road? As others have suggested, it's unlikely that the Camaro could stop in anything like 50' on the flat - but suppose it was on a 1 in 8 (12.5%) incline?

[And would it manage 75mph up the same incline? Maybe, with a run-up.]

Haven't done any sums, just thinking aloud.

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#17
In reply to #12

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 11:59 PM

Depends on age and engine of old Camaro. I once had a 1978 Z-28 up to 160 mph on a level stretch of highway. I took a couple of miles to get it wound up that high, and I confess I did not check the accuracy of the speedometer, . . .

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#26
In reply to #12

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 4:01 AM

Is this a level road?

Interesting point. Only that it wouldn't change the final outcome, which is that the car will either crash or cross a red light (whether the driver will receive a ticket is a more complex problem!) I did some school-level maths for the case of an inclined road at angle θ, and if I haven't made a mistake, it holds:

m.g.s.(n.cosθ + 2.sinθ) = ½.m.v2

for both cases. This means that still, the distance is proportional to the square of the velocity.

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#29
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 4:30 AM

"This means that still, the distance is proportional to the square of the velocity."

But now g is different - consider the difference in stopping distance between going downhill and uphill. (If downhill & very steep, good brakes would be needed to stop at all, uphill (& steep enough) lots of engine power + a good clutch are needed to even move).

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#33
In reply to #29

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 4:49 AM

But now g is different - consider the difference in stopping distance between going downhill and uphill.

g cannot be different. We may consider roads with different inclinations if you like, but this is another problem. In this particular problem it is stated that we are talking about the same road.

Moreover, I take for granted that the driver uses the same effort to stop the car in both cases, and that the wheels do not skid dissimilarly, therefore, the friction force is the same.

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#34
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 4:58 AM

Good point - you got me !

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#43
In reply to #33

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 7:59 AM

Hi tkot:

I believe that JohnDG is correct that the incline would affect the stopping distance, not because g is different but because g is now calculated in accelerating the car in the opposite direction. If a car travelling 5 mi/hr on a level surface stops accelerating, it will eventually stop due to rolling friction. If the same car is on an incline it will stop sooner as the the rolling friction force and the force the incline provides by acceleration in the opposite direction to the travel combine to stop forward motion.

Cheers

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#52
In reply to #43

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 9:41 AM

I don't doubt that an inclined road would help the car to break faster. I think that JohnDG was puzzled about whether a car like that would ever stop after such a short distance, and proposed that the road might be an uphill. This thought is quite valid.

My intervention had only to do with the fact that in the context of the quiz at hand, the inclination of the road is irrelevant. That's because the kinetic energy (which is proportional to the square of the velocity) has to equal the work of the friction (proportional to distance) plus the gain (or loss for that matter) of dynamic energy, which again is proportional to the distance, given that the inclination is constant. Therefore the distance covered will still be proportional to the square of the velocity.

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#13

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 9:57 PM

you will get a speeding ticket

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#14

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 11:47 PM

You will get hit as your vehicle can come to halt at distance of 175.78 feet.

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#15

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 11:55 PM

I cannot comprehend the question, feets and miles? what are those in the metric system

But ignoring the the feet & miles i guess we have an accident at the intersection

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#16

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/23/2009 11:59 PM

Assuming you're in the US...are there any roads with a speed limit as high as 75mph? I suspect not?

So ? Yes you'd get a speeding ticket... but also you would not stop in time.

Tony

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#21
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 12:19 AM

are there any roads with a speed limit as high as 75mph?

I-10 in Texas west of about Ozona to El Paso, I-80 in Wyoming and Nebraska, a few others, mainly in the Western States

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#25
In reply to #16

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 1:56 AM

refer to post #23

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#18

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 12:10 AM

Uh... why would I get a speeding ticket for running a red light? Is this a trick question or am I the only one paying attention?

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#20
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 12:18 AM

Nope, you would get a ticket for speeding and running a red light, and for the car chase up to this point, and robbing the bank and stealing the car and so on.....

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#44
In reply to #18

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 8:20 AM

You beat me to the punch!

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#22

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 12:31 AM

After the LEO see you skidding through the intersection and he measures the skid marks and does some math you will get a speeding ticket if the speed limit is less than 75mph.

You will also get a failure to maintain proper control of your vehicle and running a red light. Also one for no seatbelt if you were not wearing it. one for not having insurance an or proper registration if thats not correct. Also one for the broken tail light or cracked window or any other violation they can find or think up etc etc....

Best just drive slow enough and pay attention to job of driving. BUT where the FUN in that driving an old Camaro!

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#24

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 1:50 AM

For perspective let's say your camaro may stop from 40 mph in about 165-210 feet.

If your camaro is traveling at 75 mph and the signal changes you will need pull the rip cord to stop shorter than about 625 feet. You have apparently neglected to add reaction time to the distance; your reaction to the signal change 1-2 seconds, plus your reaction to apply brakes 1-2 seconds, plus the brake system reaction time before controlled braking is evident 1-2 seconds.

No ticket just 30 days unless some injury is incurred then you get an extended stay

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#28
In reply to #24

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 4:27 AM

This stuff about reaction times is getting ridiculous. To quote Wikipedia "Mean RT for young adults is approximately 190 milliseconds to detect a visual stimulus". If you are watching the traffic light and prepared for the need to brake then you will be on the brake after a similar interval, and another similar period should be enough for the brake pedal and brake pad movement - a total of well under a second, not up to 6 seconds. You could never drive in town traffic without hitting the car in front if the braking time was in seconds.

UK motorway signs recommend a 2 second separation for safety, and you can bet that has been chosen to give a big safety margin.

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#57
In reply to #28

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 10:25 AM

JayGeeBSE,

You have some merit in that statement however detection of a visual stimulus (perception time) is just one property in the evolution of driver reaction time:

NOTE: This is a brief summary/elaboration of the article, "'How Long Does It Take To Stop?' Methodological Analysis of Driver Perception-Brake Times"

Transportation Human Factors, 2, pp 195-216, 2000.

Marc Green

Seminar Available on this topic.

1. Mental processing time

a. Sensation

b. Perception/recognition

c. Situational awareness

d. Response selection and programing

2. Movement time

3. Device response time "a quote" read the article

Mechanical devices take time to actuate, even after the responder has acted. For example, a driver stepping on the brake pedal does not stop the car immediately. Instead, the stopping is a function of physical forces, gravity and friction.

Here's a simple example. Suppose a person is driving a car at 55 mph (80.67 feet/sec) during the day on a dry, level road. He sees a pedestrian and applies the brakes. What is the shortest stopping distance than can reasonably be expected? Total stopping distance consists of three components:

  1. Reaction Distance. First. Suppose the reaction time is 1.5 seconds. This means that the car will travel 1.5 x80.67 or 120.9 feet before the brakes are even applied.
  2. Brake Engagement Distance. Most reaction time studies consider the response completed at the moment the foot touches the brake pedal. However, brakes do not engage instantaneously. There is an additional time required for the pedal to depress and for the brakes to engage. This is variable and difficult to summarize in a single number because it depends on urgency and braking style. In an emergency, a reasonable estimate is .3 second, adding another 24.2 feet.
  3. Physical Force Distance. Once the brakes engage, the stopping distance is determined by physical forces (D=S²/(30*f)) as 134.4 feet.

Total Stopping Distance = 120.9 ft + 24.2 ft + 134.4 ft = 279.5 ft

Almost half the distance is created by driver reaction time.

****************************************************

bwire remembers the incredulation he observed when conducting evasive driving courses and the measured reaction time of the average entrant in actual driving conditions; with all the normal distractions we take for granted generally

****************************************************

Other factors: Expectation [expected, unexpected and surprise]. Urgency, Cognitive load, Stimulus-Response compatibility, Psychological refractory period, Age, Gender, Nature of the signal [estimated-time-to-collision] a.k.a. TTC, Visibility, Response complexity, Reaction time at night.

Case Study

The ensuing example is taken from a real case. It demonstrates how "standard" reaction time estimates must be adjusted to situation-specific conditions.

A 73 year old male driver, Mr. Smith, broad-sided another car crossing his path from a side road in good daylight visibility. Mr. Smith stated that he had approached the intersection cautiously because he had had several close calls with vehicles cutting across that intersection. He also stated that the possible danger caused him to drive more cautiously than normal as he approached the intersection. This was confirmed by forensic reconstruction showing that he was traveling well under the speed limit at the time of the accident. Moreover, Mr. Smith stated that he approached the intersection with his foot hovering over the brake pedal. A hundred feet before the intersection he saw a car from the side road. What is his expected reaction time?

A typical reaction time for responding to this type of lane incursion would be 1.5 seconds. However, the circumstances in this example alter the "typical value."

First, expectation has a large effect on reaction time. Since Mr. Smith was aware of previous accidents at the intersection and had experienced close calls himself. Given Mr. Smith's heightened alertness and his expectation that a dangerous situation might arise, a more reasonable reaction time estimate would be 1.0-1.1 seconds, not the 1.5 of a totally surprised driver.

Next, Mr. Smith had his foot was on the brake as he approached the intersection. The time required to move foot from the accelerator to the brake pedal is about 0.2 seconds. Since Mr. Smith already had his foot at the brake pedal, the normal braking movement time would be reduced significantly. A conservative estimate would be that the normal 0.2 second movement time would be cut by at least half to 0.1 second. This reduces expected reaction time to 0.9-1.0 second

Lastly, Mr. Smith was 73, and aging slows reaction time 0.2 to 0.3 seconds. This would increase expected reaction times to a range of 1.1 - 1.3 seconds.

Complex reaction times

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#119
In reply to #28

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 11:54 PM

If you read the article you quote (and thought about it) you would realize that this reaction time would only apply if one were driving along a closed road with their foot hovering over the brake pedal, waiting for the light to turn red. Under real life conditions, the driver would be looking for all manner of stimuli (like police cars) thus, according to the article, RT would be increased.

I don't think I could get my foot off the gas and onto the brake pedal, full pressure, in 190 ms but my leg may be heavier than yours.

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#31
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 4:42 AM

bwire

I'll tell you what Mate, that sounds more like bloody space travel. I used to drive the Autobahns of Germany and I know what it feels like when every thing turns Grey left and right because of the speed. Ones eye is to slow for the "side ways", if you know what I mean. Reaction time at those speeds can be a lottery (not in a 928 S Porsche) but at speeds like 75 mph one has quiet a bit of instinct that can set in.

If a rip cord is a hand break (you do have a funny language you guys) I would agree. It should be trained in driving school and not on the roads! If one can't control a tonne or 2 don't get in it. And they bloody well all do. Open slather, never mind the physics of it all.

I'm on my desk top while driving so I better leave you with the academic stuff. We have a speed limit here that is not recordable on any Richter scale. Slow down, the lot of you and not only the Camaro's. Oh, Ohh, her's bad blood!

If in doubt, steer like hell!

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#40
In reply to #31

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 6:53 AM

I think he was referring to the ripcord for a parachute, like the top fuel dragsters use to stopquick.

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#59
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 10:32 AM

yeper

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#64
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 10:45 AM

Or any type of "assisted" breaking!

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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 4:26 PM

Thanks, rip cord Eh...

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#27

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 4:15 AM

I understand all of the question but what is a traffic light? It's me, from here, Ky.

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#30

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 4:40 AM

I'd take the exit just before the lights.
(OK... with tyre/passenger squeal)

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#32

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 4:46 AM

At 75mph require 176 ft to stop hence I will get a speeding ticket.

Regards,

lashsd@yahoo.com

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#38

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 5:50 AM

Better to accelerate and get it all over with. Finding out by seeing what happens is the best school of science and probably cheaper in the long run. We could solve our prison over population by getting the inmates to volunteer for projects with the prospect of an early release if they survive

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#39

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 5:52 AM

Too many variables.....no one mentioned the temp of the tires or road, what the road is made of, size of the tires, weight of the car with driver and fuel. Too many variables to accurately equate.....did anyone even check the weight of the car? What size engine, convertable top or hardtop.

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#42

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 7:54 AM

Yes & Yes & what's the speed limit on this road??????

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#45

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 8:28 AM

ANSWER the question

No you would not stop in time if the lights stayed red

or get a speeding ticket if there was no authority to book you.

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#46

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 8:28 AM

The ticket would be for going through a red light, not for speeding.

Colin

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#47

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 8:38 AM

You will get speeding ticket.

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#48

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 8:48 AM

This site has a discussion on the same subject by some serious drivers and competent mathematicians.

http://www.advanced-driving.co.uk/bb/viewtopic.php?f=1&t=2381

They conclude that the figures for stopping distances in the UK highway code assume a reaction time + action time of 0.7 seconds ( I guesstimated 0.6 earlier in this discussion) and a deceleration of 25 feet per second squared = 0.77g.

It is rumoured that this stopping performance was based on a Ford Anglia (1958 - 1968) with unassisted drum brakes on cross-ply tyres. Probably similar to the old Camaro but not similar to a modern car.

Incidentally, there seems to be a belief that anti-lock brakes reduce the braking distance. Not true, they can extend it. It depends on how skilled you are at braking without ABS. The ABS is designed to leave some grip available for steering.

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#49

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 9:15 AM

A GT2 class Porsche can stop like that but a Camaro would need to be tied to something heavy. Besides where are you goinfg to fins a dumbass to writw a speeding ticket for running a red light " on an interstate?" So the answer:

You wont get a speeding ticket for running a red light

unless your brakes failed and you got a speeding ticket and a ticket for running the red light, after all you are driving a Camaro.

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#50

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 9:22 AM

This brings up interesting use of the prepositions "in" and "on". Conventional usage as I have observed is confusing at best:

Don't stand in the road, there may be a car driving on the road.

I'm parked on the street, not in the middle of the street, but on the curb.

I had driven 4 hours on the highway before stopping to stretch my legs in a rest area parking lot.

Are there any grammar rules, or do you just use what you are accustomed to hearing?

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#63
In reply to #50

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 10:45 AM

Using what you are accustomed to hearing may compromise your ability to follow directions causing extended time standing on the parking lot in the rest area

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#99
In reply to #50

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 4:41 PM

Well you wrote this on a keyboard in English and posted it in CR4. Or was that on? Can one write on Conference Room 4. You could try it on the door of CR4 but graffiti is not asked for.

Are there any grammar rules, or do you just use what you are accustomed to hearing?

Some get away with it some don't. The pedantics only rule before the third beer is in the system. Go for it, Ky.

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#102
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 5:40 PM

My take: There are plenty of rules, but
It is possible to obey all the rules and yet be totally incomprehensible, or even create utter gibberish, therefore
So long as your intended meaning is clear, I don't care how many of those rules you brake (qv); even if I know what you meant but there are possible misinterpretations I won't bother, unless
Either
I'm in a bad mood, when I'll take any opportunity for an argument, or
Something is so funny I can't resist

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#114
In reply to #50

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 11:06 PM

Paddy, just recognizeEnglish is a silly language complicated by silly rules with even sillier exceptions that aren't always true and you will get along fine.

I actually admire the many other engineers who speak English as a second language! I often wish I had the competency of a second language.

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#51

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 9:22 AM

No, the camaro had rather shitty brakes that would fade on you when braking from high speed.

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#53

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 9:46 AM

Chances are the posted speed wouldn't be any more then 55 MPH if it has intersections governed by traffic lights.

My guess would be a Reckless Driving Ticket.

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#54
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 9:50 AM

That would be my guess as well.

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#65
In reply to #53

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 10:46 AM

don't get out of CA much eh?

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#73
In reply to #65

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 11:14 AM

Lived in Washington for 8 years and Arkansas for 2 years and Virginia for a year.

And after I'd posted that I realized we have Hiway 198 that when you get to Exeter there is a sign posted that Freeway ends but the speed limit remains at 65 mph and there are a couple traffic lights there.

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#75
In reply to #73

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 11:26 AM

Ah Exeter a.k.a. "ticket alley"

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#82
In reply to #75

Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 12:24 PM

I never heard that. I heard it being applied to Farmersville though, and they've recently increased the speed limit through there. It used to be only 25mph.

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#84
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 12:32 PM

I recall it being attributed to a certain CHP officer that retired a few years ago leaving a protege. I suppose the protege took ownership of a zone elsewhere

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#85
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Re: Speeding Ticket: CR4 Challenge (03/24/09)

03/24/2009 12:40 PM

How did you know about these places?

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