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Q. A ball is released from height $h$ on the ground level. If the coefficient of restitution is $e$, then what height will after $2$ times jump from ground?

Rajasthan PETRajasthan PET 2004

Solution:

The height of ball in first jump
$ {{h}_{1}}={{e}^{2}}h $
The height of ball in second jump
$ {{h}_{2}}={{e}^{2}}{{h}_{1}} $
$ ={{e}^{4}}{{h}_{0}} $