Question

A body is initially at rest. It undergoes one-dimensional motion with constant acceleration. The power delivered to it at time $t$ is proportional to

• A. $t^2$
• B. $t^{\frac{3}{2}}$
• C. $t^{\frac{1}{2}}$
• D. $t$

Answer 1

The correct option is D $t$

We know that $P=F\times v$

Since, $F=ma$ and $v=u+at$

Since $u=0$, $v=at$

Therefore, $P=ma\times at=m{a}^{2}t$

So, for constant mass and acceleration,

$P\propto t$

So, option $\left(b\right)$ is the correct answer.