Question:
a body is moving unidirectionally under the influence of a source of constant power. its displacement is time t is proportional to i. t^1/2 ii. t iii. t^3/2 iv. t^2
Answer:
Let the constant power be P.
Initial velocity = 0
Also, P = Fv = mav
Thus, P = ma2t
So, a = √P/mt
As we knw, S = ut + 1/2 at2
Thus, S = 1/2 √P/mt x t2
Thus, S = 1/2 √P/m x t3/2
S ¤ t3/2
So, option iii is correct.
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