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A stone is thrown horizontally. If after half a second from the instant it was projected, the
\( \mathrm{P} \) magnitude of its velocity becomes \( \sqrt{3} \) times that W of its initial velocity, calculate its speed of projection.
(1) \( \frac{g}{2 \sqrt{2}} \)
(2) \( \frac{g}{\sqrt{2}} \)
(3) \( \frac{g}{2} \)
(4) \( \sqrt{2} g \)
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