A car of mass m accelerates starting from rest. Velocity of the car is given by v = (2Pt/m)^(3/2),where P is the constant power of the engine. The position of car as a function of time is

Q: A car of mass m accelerates starting from rest. Velocity of the car is given by $v = (\frac{2 P t}{m})^{3/2}$ ,where P is the constant power of the engine. The position of car as a function of time is

(a) x ∝ t^3/2

(b) x ∝ t^5/2

(c) x ∝ t^1/2

(d) x ∝ t⁵

Ans: (b)