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A ball falls from a height of 10m on to a horizontal plane. If the coefficient of restitution is 0.6, the height to which it rebounds after 3 collisions is approximately

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0.3 m

2.16 m

0.6 m

0.47 m

answer is B.

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Detailed Solution

h_{0} = 10 m

$e = 0 .6$

$h_{3} = ?$

$h_{3} = e^{(2 \times 3)} \times h_{0}$

$h_{3} = {(0.6)}^{6} \times 10$

$h_{3} = \frac{6^{6}}{10^{5}}$

$= \frac{46836}{10^{5}}$

$= 0.46836$

$h_{3} ≃ 0.47 m$

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