when does an object have the most potential energy on a roller coaster

Question

a. at the top of the highest hill
b halfway down the first hill
c at the bottom of the first
d when the roller coaster is moving at its fastest speed

Answer 1

An object has the most potential energy on a roller coaster:

a. at the top of the highest hill.

At this point, the roller coaster is at its greatest height, which corresponds to the maximum gravitational potential energy. As the coaster descends, potential energy is converted into kinetic energy, and thus its potential energy decreases while its speed increases.