Question

A time varying power $P=2t$ is applied on a particle of mass $m$. Find average power over a time interval from t=0 to t=t :

• A. $P_{av}=t$
• B. $P_{av}=2t$
• C. $P_{av}=4t$
• D. $P_{av}=8t$

Answer 1

The correct option is A $P_{av}=t$

Average power over a time interval $t=0$ to $t=t$ is

$\frac{{\int }_0^{t}Pdt}{{\int }_0^{t}dt}$

$=\frac{{\int }_0^{t}2tdt}{t}$

$=\frac{t^2}{t}=t$