A skier starts from rest at the top of a frictionless incline of height 20.0 m.

Question

A skier starts from rest at the top of a frictionless incline of height 20.0 m. At the bottom of the incline, the skier encounters a horizontal surface where the coefficient of kinetic friction between skis and snow is 0.226. Neglect air resistance.
skier's speed at the bottom is 19.8m/s
skier travels on the horizontal surface before coming to rest 88.5m

Find the horizontal distance the skier travels before coming to rest if the incline also has a coefficient of kinetic friction equal to 0.226. Assume that ? = 20.0°.

Explanation / Answer

Given, initial and final velocities are 19.8 m/s and 0.

Acceleration = -g = -2.215 m/s^2

v^2 - u^2 = 2as

s = (19.8^2)/@*2.215 = 88.5 m

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