A body is moving unidirectionally under the influence of a constant power source. Its displacement in time t is proportional to :

Step-by-step solution

aligned & P= constant FV = constant & m dV dt V = constant & ₀^ V VdV =( C ) ₀^ t dt & ( V ^2 2 )= Ct & V t ^ 1 / 2 & ds dt t ^ 1 / 2 & ₀^ S ds = K ₀^ t t ^ 1 / 2 dt & S = K 2 3 t ^ 3 / 2 & ~S t ^ 3 / 2 aligned displacement is proportional to ( t )^ 3 / 2