A skier leaves the top of a slope with an initial speed of 5.0 m/s. Her speed at the bottom of the slope is 13 m/s. What is the height of the slope?
A)1.1 m
B)4.6 m
C)6.4 m
D)7.3 m
E)11 m

Question

Quizplus · Accepted Answer

The change in kinetic energy is equal to the change in potential energy:$$\frac{1}{2}mv_f^2-\frac{1}{2}mv_i^2=mgh$$$$h=\frac{v_f^2-v_i^2}{2g}=\frac{(13	ext{ m/s})^2-(5.0	ext{ m/s})^2}{2(9.8	ext{ m/s}^2)}=6.4	ext{ m}$$

A Skier Leaves the Top of a Slope with an Initial