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

(i) (ii)
*t
* (iii) (iv)

**Answer:** (ii) *t*

Mass of the body = *m*

Acceleration of the body = *a*

Using Newton’s second law of motion, the force experienced by the body is given by the equation:

*F* = *ma*

Both *m* and *a *are constants. Hence, force *F *will also be a constant.

*F* = *ma* = Constant … (*i*)

For velocity *v*, acceleration is given as,

Power is given by the relation:

*P = F*.*v*

Using equations (*i*) and (*iii*), we have:

*P *∝* t *

Hence, power is directly proportional to time.

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