Final answer:
The skater's potential energy increases while their kinetic energy and speed decrease when going up the ramp. Conversely, their potential energy decreases while their kinetic energy and speed increase when going down the ramp.
Step-by-step explanation:
As the skater goes up the ramp, their potential energy increases while their kinetic energy and speed decrease. This is because the skater is gaining height, which increases their potential energy. At the same time, their kinetic energy and speed decrease because the skater is moving uphill, so they are working against gravity.
When the skater goes down the ramp, their potential energy decreases while their kinetic energy and speed increase. This is because the skater is losing height, which decreases their potential energy. At the same time, their kinetic energy and speed increase because the skater is moving downhill, so gravity is assisting their motion.
The changes in potential energy, kinetic energy, and speed are due to the transfer of energy from one form to another. When the skater goes up the ramp, the increase in potential energy comes at the expense of kinetic energy and speed. When the skater goes down the ramp, the decrease in potential energy is converted into an increase in kinetic energy and speed.