A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height \( h...

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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.
(a) \( \frac{\sqrt{2}-1}{\sqrt{2}+1} \)
(b) \( \frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}} \)
(c) \( \frac{\sqrt{3}-1}{\sqrt{3}+1} \)
(d) \( \frac{1}{3} \)
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