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

$\therefore v = at$ $(\because u = 0)$

As power,

p = F × v $\therefore p = (ma) \times at = ma^{2}t$

As m and a are constants

$\therefore p \propto t$