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

Step-by-step solution

Power, P = F v = c o n s t a n t Or m a a t = c o n s t a n t   Or a 2 t = c o n s t a n t ⇒ a ∝ 1 t ....... (1) Now, S = 2     a t 2 ∵   u = 0 ⇒ S ∝ a t 2 ∴ S ∝ t 2 t [Using (1)] ⇒ S ∝ t 3 / 2