by John Federico

Question by : please help me understand the solution to this physics problem? car going down a slope?
A car traveling at 34.28 m/s runs out of gas while traveling up a 37° slope. How far up the hill will it coast before starting to roll back down?

Best answer:

Answer by tigger
I suppose that in answering this question we are expected to neglect friction and equate present KE to increase in PE.

0.5*m*v^2 = m*g*h where m = mass of car, v = present speed, g = accn due to gravity, h = gain in height.

h = 0.5*v^2/g = 59.9m

This is a vertical height. The distance traveled along the slope is 59.9/sin(34.28) = 106.3m

I have assumed that the given angle is measured with respect to the horizontal.

What do you think? Answer below!