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Equations of Motion

A ball is all...

Question

A ball is allowed to fall from a height $1.0 m$ . If the value of the coefficient of restitution is $0.6$ , then find the height to which the ball goes upto, after the impact.

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Solution

$V_{a p p r o a c h} \to V^{2} = 2 a s = 2 (10) (1) = 20 m / s$
$c o e f f i c i e n t o f r e s t i t u t i o n (e) = \frac{V_{s e p e r a t i o n}}{V_{a p p r o a c h}}$
$0.6 \times V_{a p p .} = 2 (10) (h)$
$h = 0.36 m$

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