Ski jumping

Classical Mechanics Level 5

A ski jumper launches from a ski jump that is oriented parallel to a hill. The jump has a vertical drop of 50 m and the coefficient of friction \(\mu\) between the skier and the jump is 0.05. The launch point is 5 m above the hill and there is a small lip at the bottom of the jump so that the skier launches horizontally. How long in seconds is the skier in flight?

Details and assumptions

  • Neglect air resistance.
  • The acceleration of gravity is \(-9.8~m/s^2\).
  • The hill slopes down at an angle of \(\theta=30^o\) below the horizontal.
  • The skier started from rest at the top of the jump.

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