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Question

A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height h. Find the ratio of the times in which it is at height $\frac{h}{3}$ while going up and coming down respectively.

$\frac{\sqrt{2}-1}{\sqrt{2}+1}$
$\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}$
$\frac{\sqrt{3}-1}{\sqrt{3}+1}$
$\frac{1}{3}$

Solution

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