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**1. The problem statement, all variables and given/known data**

A skier leaves the starting gate at the top of a ski jump with an initial speed of 4.00 m/s. The starting position is 120m higher than the end of the ramp, which is 3.00m above the snow. Find the final speed of the skier if he lands 145m down the 20 degree slope. Assume there is no friction on the ramp, but air resistance causes a 50% loss in the final kinetic energy. The GPS reading of the elevation of the skier is 4212m at the top of the jump and 4039m at the landing point.

**2. Relevant equations**

U(x)=mgy

KE = (1/2)mvf^2 - (1/2)mvi(2)

vi = 4.00 m/s

**3. The attempt at a solution**