A particle of mass \( \mathrm{m} \) is acted upon by a force \( \mathrm{F} \) given by the empir...

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A particle of mass \( \mathrm{m} \) is acted upon by a force \( \mathrm{F} \) given by the empirical law \( \mathrm{F}=\frac{\mathrm{R}}{\mathrm{t}^{2}} \mathrm{v}(\mathrm{t}) \). If this law is to be tested experimentally by observing the motion starting from rest, the best way is to plot :
\( \mathrm{P} \)
(1) \( \log v(t) \) against \( t \)
(2) \( \log v(t) \) against \( \frac{1}{t} \)
(3) \( \log v(t) \) against \( \frac{1}{t^{2}} \)
(4) \( v(t) \) against \( t^{2} \)
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