Braking Calculation For Go Cart

K.I.S.S.

You are way over-thinking this. A standard kart brake system will easily lock the wheels, which is more than enough braking action. You don't need to design anything new. As previously mentioned by redfred, the coefficient of friction between the tire and road is what counts--as well as your driver.

The requirements really don't make any sense at all. You have 50 meters between lines 1 & 2, but only 4 meters between lines 2 & 3 (which is where the stopping takes place). I didn't see any requirement for the speed for crossing the second line. You mentioned that your cart has a top speed of 57 km/h, but what speed will you cross the second line at? How do you determine that you're decelerating at .5 m/s/s when you get to the second line? Will you have an accelerometer on the kart? A whistle blow to signal the start of braking?

Geez, this sounds like an engineer came up with this nonsense!

Pretty reasonable answer except for the bit, "Geez, this sounds like an engineer came up with this nonsense!"

Whoever wrote the test, and it's reasonable that there is one, is both inarticulate and technically incompetent. He or she very clearly not any sort of engineer - or maybe is playing with us all.

It's pretty funny really, think about it - a test where someone responds to a whistle and has to stop between two lines that only about 0.24 seconds apart, and by my reading, if the third line is crossed by even 1 mm then there is 100 point penalty and exactly the same is if they overshot by up to 2m. Then on top of that nonsense, the subject vehicle is allowed to qualify even if it exhibits some sort of yaw of up to 60 deg, as long as they don't "run off the track........really!!!