Power P = Fv = (ma)v. Since P is constant, v(dv/dt) is constant, which integrates to show that velocity v ∝ t^(1/2). Since distance is the integral of velocity, distance s ∝ ∫t^(1/2) dt ∝ t^(3/2). [cite: 46, 50, 51, 52, 53]