A skier is gliding along at 4.3 m / s on horizontal, frictionless snow. He sudde

Question

A skier is gliding along at 4.3m/s on horizontal, frictionless snow. He suddenly starts down a 10? incline. His speed at the bottom is 10m/s What is the length of the incline?How long does it take him to reach the bottom? A skier is gliding along at 4.3m/s on horizontal, frictionless snow. He suddenly starts down a 10? incline. His speed at the bottom is 10m/s What is the length of the incline?How long does it take him to reach the bottom? A skier is gliding along at 4.3m/s on horizontal, frictionless snow. He suddenly starts down a 10? incline. His speed at the bottom is 10m/s What is the length of the incline?How long does it take him to reach the bottom? A skier is gliding along at 4.3m/s on horizontal, frictionless snow. He suddenly starts down a 10? incline. His speed at the bottom is 10m/s What is the length of the incline?How long does it take him to reach the bottom?

Explanation / Answer

Initial speed u = 4.3 m/s, Angle of inclination ? = 10 degrees

(a) Length of the incline S = (v^2 - u^2)/2a = (10^2 - 4.3^2)/2(g sin10)= 23.94 m

(b) time t = (v - u)/a, = (10 - 4.3)/(g sin10) = 3.34 s Initial speed u = 4.3 m/s, Angle of inclination ? = 10 degrees

(a) Length of the incline S = (v^2 - u^2)/2a = (10^2 - 4.3^2)/2(g sin10)= 23.94 m

(b) time t = (v - u)/a, = (10 - 4.3)/(g sin10) = 3.34 s

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