A particle located at \( x=0 \) at time \( t=0 \), starts moving al...

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A particle located at \( x=0 \) at time \( t=0 \), starts moving along the positive \( x \)-direction with a velocity ' \( v \) ' that
\( \mathrm{P} \) varies as \( v=\alpha \sqrt{x} \). The displacement of the particle

W varies with time as
(1) \( t^{2} \)
(2) \( t \)
(3) \( t^{1 / 2} \)
(4) \( t^{3} \)
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