Physics Olympiad #015 [The Roller Coaster]

An amusement park creates new challenges for its visitors. The roller coaster built in this amusement park does not have a top, as in the picture. What is the height H that the roller coaster can reach by landing again after passing through the gap at the top of the roller coaster. The radius of the track is R with the peak opening angle being 2α.

#KinematicsOfMotion #DynamicsOfMotion #PhysicsOlympiad