Physics - W.E.P. Question with Solution | TestHub

Given that force is inversely proportional to speed:

$F\propto \frac{1}{v}$

$F=\frac{c}{v}$

Power $P=Fv=\left(\frac{c}{v}\right)v=c$

Since power is constant, the rate of change of kinetic energy is constant.

$P=\frac{dK}{dt}=c$

$dK=cdt$

Integrating both sides:

$K=ct+K_0$

Assuming the initial kinetic energy is zero, $K=ct$.

Therefore, the kinetic energy of the body is directly proportional to time.

Answer: directly proportional to time