Work Energy?

Question

The skateboarder in the drawing starts down the left side of the ramp with an initial speed of 7.96 m/s. If non-conservative forces, such as kinetic friction and air resistance, are negligible, what would be the height h of the highest point reached by the skateboarder on the right side of the ramp?

Answer 1

The KE of the boarder is the same when he reaches the other side (at the same height), so the height he attains on the right side will be given by the conversion of all the KE to PE.

Ei = Ef (this is ONLY true when non conservative forces do no work!)
KE = PE
1/2 mv^2 = mgh
h = 1/2 v^2/g

Answer 2

no drawing..