A skier starts from rest at the top of a 48 m hill, skis down a 32° incline into

Question

A skier starts from rest at the top of a 48 m hill, skis down a 32° incline into a valley, and continues up a 28 m high hill. Both hill heights are measured from the valley floor. Assume that you can neglect friction and the effect of ski poles.
(a) How fast is the skier moving at the bottom of the valley?
m/s
(b) What is the skier's speed at the top of the next hill?
m/s (c) Does your answer to (a) or (b) depend on the angles of the hills? (Select all that apply.)
The answer to part (b) depends on the angle.

Explanation / Answer

a) using conservation of energy mgh = .5mv1^2 speed at the bottom of the valley v1 = 30.7 m/s b) mgh1-mgh2 = .5mv2^2 g(h1-h2) = .5v2^2 9.8(48-28) = .5v2^2 speed at the top of the next hall v2 = 19.8 m/s c) no they(both a,b) do not depend on the angles of the hill

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