A skier starts from rest at the top of a 45-m hill, skis down a 30° incline into a valley, and continues up a 40-m-high hill. Both hill heights are gauged from the valley floor. Suppose that you can neglect friction and the effect of ski poles
1. What is the skier’s speed at the top of the next hill?
2. How fast is the skier moving at the bottom of the valley?
3. Does your answer to 1 or 2 depend on the angles of the hills?