A transverse sinusoidal wave moves along a string in the positive $x-$ direction at a speed of $10\, cm/s$. The wavelength of the wave is $0.5\, m$ and its amplitude is $10\, cm$. At a prticular time $t$, the snap-shot of the wave is shown in the figure. the velocity of point $P$ when its displacement is $5\, cm$, is
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