Final answer:
The point on a roller coaster where the kinetic energy is 25% and the potential energy is 75% is at the top of a hill.
Step-by-step explanation:
In a roller coaster, the point where the kinetic energy is 25% and the potential energy is 75% is at the top of a hill. This is because at the top of a hill, the potential energy is at its maximum value while the kinetic energy is at its minimum value. As the roller coaster descends from the top of the hill, the potential energy decreases and the kinetic energy increases.