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

Answer: (B)

$t$

Answer 2

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,
$\therefore P \propto t$