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A ball is projected upwards from a height \( h \) above the surface of the earth with velocity \( v \). The time at which the
\( \mathrm{P} \) ball strikes the ground is

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(a) \( \frac{v}{g}+\frac{2 h g}{\sqrt{2}} \)
(b) \( \frac{v}{g}\left[1-\sqrt{1+\frac{2 h}{g}}\right] \)
(c) \( \frac{v}{g}\left[1+\sqrt{1+\frac{2 g h}{v^{2}}}\right] \)
(d) \( \frac{v}{g}\left[1+\sqrt{v^{2}+\frac{2 g}{h}}\right] \)
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