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2015-10-02T14:21:16+05:30

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When a ball is dropped from a height h₁, the velocity before reaching ground is
v= \sqrt{2gh_1}

When the ball rebounces to a height h₂, the velocity just after impact was
v'= \sqrt{2gh_2}

Coefficient of restitution =  \frac{ \sqrt{2gh_2} }{ \sqrt{2gh_1} } = \sqrt{ \frac{h_2}{h_1} }
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