A particle of mass m is acted upon by a force F given by the emprical law `F=(R)/(t^2)upsilon(t)`
If this law is to be tested experimentally by observing the motion starting from rest, the best way is to plot :

Options

A. log v(t) against `(1)/(t)`
B. v(t) against `t^(2)`
C. log v(t) agninst `(1)/(t^(2))`
D. lov v(t) against t

Answer

A

Explanation

From `F=(R)/(t^(2))v(t) rArr m(dv)/(dt)=(R)/(t^(2)) v(t)`
Intergrating both sides `int (dv)/(dt)= int (Rdt)/(mt^(2))`
In `v=-(R)/(mt) " " :. In v prop (1)/(t)`