A ball is dropped onto a fixed horizontal surface from height h₀. The coefficient of restitution is e. Find the total distance D travelled by the ball before it comes to rest on the surface.

$\frac{h_{0} (1 - e^{2})}{(1 + e^{2})}$

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$\frac{h_{0} (1 + e^{2})}{(1 - e)}$

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$\frac{h_{0} (1 + e^{2})}{(1 + e)}$

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$\frac{h_{0} (1 + e^{2})}{(1 - e^{2})}$

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Solution

The correct option is D
$\frac{h_{0} (1 + e^{2})}{(1 - e^{2})}$

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A ball is dropped onto a fixed horizontal surface from height h₀. The coefficient of restitution is ‘e’. The total distance ‘D’ travelled by ball before it comes to rest on the surface.

A ball is dropped onto a fixed horizontal surface from height h₀. The coefficient of restitution is e. Find the total distance D travelled by the ball before it comes to rest on the surface.