SOLUTION: Please help my 15 year old son with this physics question if you can: A Car starts driving up a hill which has a 30 degree slope. It's initial speed is 20m/s when the engine st

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Question 856876: Please help my 15 year old son with this physics question if you can:
A Car starts driving up a hill which has a 30 degree slope. It's initial speed is 20m/s when the engine stalls. How far does the car roll up the hill before coming to a stop?
He has calculated 30.63 metres - can anyone tell us if this is correct please - much appreciated.
Thanks.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming no friction forces, the component of gravity does work equal to the kinetic energy of the car when it stalls.
F%5Bg%5D%2Ad=%281%2F2%29mv%5E2
mgsin%2830%29%2Ad=%281%2F2%29mv%5E2
d=v%5E2%2F%282gsin%2830%29%29
d=%2820%29%5E2%2F%282%289.8%290.5%29
d=40.82m