A tennis ball is released from height h above ground level. If the ball makes inelastic collision with the ground, to what height will it rise after third collision

Dear student
Let coefficient of restitution be e.Velocity with which it hits the ground is v2-u2=2ghv2=2ghv=2ghvelocity with which it rebounds after first collision is V1V1=e (Velocity with which it hits the surface)V1=e×2ghvelocity with which it hits the ground second time isv2=e×2ghvelocity with which it rebounds is V2V2=e×(e×2gh)=e2×2ghvelocity with which it hits the ground third time isv3=e2×2ghvelocity with which it rebounds is V3V3=e×(e2×2gh)=e3×2ghMaximum height reached for the third time ish3=V232g=e6×2gh2g=e6×hRegards
 

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