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A ball is thrown directly upwards and reaches a maximum height $h$. When it is at height $h/2$, its speed relative to the initial speed $v_{0}$ it had when it was originally thrown is

A

$\sqrt{v_{0}^{2}-g h}$

B

$\sqrt{v_{0}^{2}-2g h}$

C

$\sqrt{2 v_{0}^{2}-g h}$

D

$\sqrt{2 v_{0}^{2}-2g h}$

E

None of the above

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