A skier is traveling at a speed of 39.7 m/s when she reaches the base of a frictionless ski hill. This hill makes an angle of 14° with the horizontal. She then coasts up the hill as far as possible. What height (measured vertically above the base of the hill) does she reach?

Answer 1

Since all her KE is converted to PE,

1/2 mv^2 = mgh
so,

1/2 * 39.7^2 = 9.81h

Note that the angle of incline makes no difference.