Figure shows the plot of acceleration \( a \) and velocity \( v \) on log-log scale. If init...

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Figure shows the plot of acceleration \( a \) and velocity \( v \) on log-log scale. If initial velocity is zero then relation between velocity and time is given by
(1) \( v=\left(\frac{t}{2}\right)^{4} \)
(2) \( v=\left(\frac{t}{4}\right)^{4} \)
(3) \( v=\frac{t^{4}}{32} \)
(4) \( v=\left(\frac{t}{4}\right)^{3} \)
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