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

(i) t^1/2  (ii) t  (iii) t ^2/3 (iv) t ²

Answer 1

(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,

a=dv/dt=constant

Hence, power is directly proportional to time.​