JEE Main Physics question
The power supplied by a force acting on a particle moving in a straight line is constant. The velocity of the particle varies with the displacement x as
Answer: (D)
Solution
With P = Fv constant, Mv(dv/ds) = P ⟹ v²/2 ∝ s ⟹ v ∝ √s, and since s ∝ t^(3/2) (as in Q236), s^(1/3) ∝ t^(1/2) ∝ v, i.e., v ∝ x^(1/3).