A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration ( a ) is varying with time t as a=k^2 r…

A particle of mass $\displaystyle m$ is moving in a circular path of constant radius $\displaystyle r$ such that its centripetal acceleration ( $\displaystyle a$ ) is varying with time $\displaystyle t$ as $\displaystyle a=k^2 r t^2$, where $\displaystyle k$ is a constant. The power delivered to the particle by the force acting on it is given as