A professional skier reaches a speed of 56 m/s on a 30 $\degree$ ski slope.Ignoring friction,what was the minimum distance along the slope the skier would have had to travel,starting from rest?
A)110 m
B)160 m
C)320 m
D)640 m

Question

Quizplus · Accepted Answer

The minimum distance would be the distance it takes for the skier to reach a speed of 56 m/s, starting from rest. We can use the kinematic equation: v^2 = u^2 + 2as, where v is the final speed (56 m/s), u is the initial speed (0 m/s), a is the acceleration due to gravity (-9.8 m/s^2) and s is the distance traveled. Rearranging the equation, we get s = (v^2 - u^2) / 2a. Plugging in the values, we get s = (56^2 - 0^2) / 2(-9.8) = 160 m. Therefore, the best choice is C, 320 m.

A Professional Skier Reaches a Speed of 56 M/s on a 30