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^{1/2} $
• B. $ t $
• C. $ t^{3/2} $
• D. $ t^2 $

Answer 1

The Correct Option is B

Using $ v = u + at $
$ \therefore v = at\quad\left(\because u = 0\right) $
As power, $ P = F \times v $
$ \therefore P = \left(ma\right) \times at = ma^{2}t $
As m and a are constants,
$ \therefore P \propto t $