Broken Roller Coaster

Level pending

A ball begins to slide without initial velocity from a height h and then the ball pass a circular path that broke at the top of the circle. Later, the ball was returned to the track and out of the circle. What is the required minimum height so that the ball can be passed safely? (Sorry for bad english and picture :D)

R(1+cos α+(1/3sinα)) R(1+cos α+(1/2cosα)) R(1+cot α+(1/5sinα)) R(1+tan α+(1/4sinα))

Aldo Meyolla by Aldo Meyolla , 20, Indonesia

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