A particle is moving with speed \( v=b \sqrt{x} \) along \( \mathrm...

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A particle is moving with speed \( v=b \sqrt{x} \) along
\( \mathrm{P} \) positive \( x \)-axis. Calculate the speed of the particle at

W time \( t=\tau \) (assume that the particle is at origin at \( t=0) \).
(1) \( b^{2} \tau \)
(2) \( \frac{b^{2} \tau}{4} \)
(3) \( \frac{b^{2} \tau}{2} \)
(4) \( \frac{b^{2} \tau}{\sqrt{2}} \)
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