Building a ski jump

Classical Mechanics Level 4

You are in charge of building a small ski jump on a hill that slopes down \(20^{\circ}\) below the horizontal. You want to maximize the distance the skier will travel down the hill while in the air. The jump will launch the skier off the hill at an angle \(\theta\) above the horizontal. What should \(\theta\) be in degrees to maximize the distance the skier travels down the slope while in the air?

Problem submitted by Saad H.

Details and assumptions

  • The acceleration of gravity is \(-9.8~\mbox{m/s}^2\).

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