The engine of a car with mass m supplies a constant power P to the wheels to accelerate the car. You can ignore rolling friction and air resistance. The car is initially at rest. (a) Show that the speed of the car is given as a function of time by v = (2Pt/m) 1/2.
(b) Show that the acceleration of the car is not constant but is given as a function of time by a = (p/2mt) 1/2. (c) Show that the displacement as a function of time is given by x - xo = (8P/9m) 1/2t'/2.