A car of mass $m$ starts from rest and accelerates so that the instantaneous power delivered to the

Question

A car of mass $m$ starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude $P_{0}$. The instantaneous Kinetic energy of the car of this car is proportional to\

Professor PC Thomas Classes · Answer

$P_{0}=F v$\ $\because \quad F=m a=m \frac{d v}{d t}$\ $	herefore \quad P_{0}=m v \frac{d v}{d t}$ or $P_{0} d t=m v d v$\ Integrating both sides, we get $\int_{0}^{t} P_{0} d t=m \int_{0}^{v} v d v \P_{0} t=\frac{m v^{2}}{2}$