Let's assume, hypothetically of course, that a high schooler built a potato cannon. Let's assume that hairspray was used as the propellant and a gas BBQ grill lighter/starter was used as the source of ignition. This hypothetical cannon might have been made from 2 inch and 4 inch PVC pipe with a sewer cleanout cap at the bottom to allow the hairspray to be inserted. Such a device might look like this:

Anything that shoots anything can be dangerous so you should not try this at home. Also, no animals were hurt in the production of this hypothetical question.
This cannon, if it existed, might shoot 725 feet, much farther than expected. The potato, a small baking potato about 4 inches long might look something like this (used potato, side scrapes are due to 2" PVC pipe):

How would the muzzle velocity of the cannon be calculated/estimated. I know that one could borrow a baseball radar gun, but if that is not an option then what would one do? The weight of the potato is probably around 7 or 8 ounces. The temperature was about 80F and the altitude was about 800 feet. The potato, hypothetically, departed at about a 40 degree up angle. It is not known how much roll the potato may have had after it hit, but it was probably not very significant.
This is an interesting little question. We never covered this in circuit theory class. As I recall we only shot electrons and monkey's falling from a tree in Physics class. (It was in the book, we never wanted to shoot any monkeys.)
Thanks,
Bruce
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