A particle of mass m is acted upon by a force $F$ given by the empirical law $F = \frac{R}{t^2} v(t)$. If this law is to be tested experimentally by observing the motion starting from rest, the best way is to plot :

Question

$\begin{array}{1 1}(1)\; v(t)\; against\; t^2 \\ (2)\; log\; v(t) \;against \; \frac{1}{t^2} \\ (3)\; log \;v(t)\; against \; t \\ (4)\; log\; v(t)\; against\; \frac{1}{t} \end{array} $