Kinematics plays a huge factors in how roller coasters work. As roller coaster gain speed, the velocity increases therefore there is also an increase in kinetic energy. The faster a roller coaster is moving, the more kinetic energy it has. Due to this, kinetic energy is highest when the roller coaster is at the bottom of the track, while the kinetic energy decreases once the roller coaster starts to slow down.
Gravity is the acceleration that pushes the roller coaster down when it is descending. When the roller coaster is moving downwards, its acceleration increases because gravity is pulling the roller coaster down. When the roller coaster moves upwards, its acceleration decreases because gravity is working as an opposing factor.
I don't usually ride roller coasters. Actually I am not a fan of roller coaster, therefore there isn't one that I'm particularly fond of, so I don't have a favourite one.
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