A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time t is proportional to

- t
^{1/2} - t
^{1/4} - t
^{3/2} - t
^{3/4}

**Answer**

Power = W/t = (F × d)/t = F × v

Force × velocity = constant (K)

(ma) × (at) = K

a = (K/mt)^{1/2}

s = ½at^{2}

s = ½(K/mt)^{1/2}t^{2}

s is proportional to t^{3/2}

**The correct option is C.**