How do you calculate the kinetic energy on different points of a roller coaster?

To calculate the kinetic energy (KE) at different points of a roller coaster, use the formula KE = 0.5 * m * v², where m is the mass of the roller coaster car and v is its velocity at that point. As the coaster moves, potential energy (PE) is converted into kinetic energy, so at the highest points, KE is lower due to greater PE, and at the lowest points, KE is higher as PE decreases. You can also apply the conservation of energy principle, where the total mechanical energy (PE + KE) remains constant, assuming negligible friction.