A bicyclist is traveling at a speed of 20.0 m/s as he approaches the bottom of a hill. He decides to coast up the hill and stops upon reaching the top. Neglecting friction, determine the vertical height of the hill.
A)28.5 m
B)3.70 m
C)11.2 m
D)40.8 m
E)20.4 m

Question

Quizplus · Accepted Answer

The potential energy at the top of the hill equals the kinetic energy at the bottom. Using the equation mgh = 0.5mv^2, where v = 20.0 m/s and g = 9.8 m/s², solving for h gives h = v²/(2g) = 20.0²/(2*9.8) = 20.4 m.

A Bicyclist Is Traveling at a Speed of 20