# A body dropped freely from a height h onto a horizontal plane, bounces up and down, and finally comes to rest. The coefficient of restitution is e, the ratio of distance traveled in two consecutive rebounds a) 1:e b) e:1 c) e2:1 d) 1:e2

Option d) 1:e<sup>2</sup>
$$\sqrt{\frac{h_{n}+1}{h_{n}}}=e$$$$h_{1}=e^{2}h$$$$h_{2}=e^{4}h$$$$h_{1}:h_{2}=1:e^{2}$$

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