First slide
Coefficient of restitution

A particle moving horizontally with a velocity u strikes a fixed frictionless sphere at a height R/2 above the center of sphere. After striking the sphere, velocity of particle changes to vertically upward .If R be the radius of sphere, the maximum height attained by the particle with respect to center of sphere is


Since the force of contact will be only normal force, 
The velocity of the particle along the tangent will be conserved during the collision

Maximum height from centre

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