when does the potential energy turn into kinetic energy on the roller coaster

The potential energy of a roller coaster turns into kinetic energy when the roller coaster is in motion, typically when it starts moving downhill or at the bottom of a hill. As the roller coaster gains height, its potential energy increases, and as it descends, this potential energy decreases and is converted into kinetic energy. This conversion happens continuously as the roller coaster moves along the track.