Car A begins from rest at time t = 0, with constant acceleration a. Car B is moving in the opposite direction at a constant speed v' = -V and, at t = 0, begins constant deceleration 1/3a. The distance between the cars at t = 0 is d. When the cars pass each other, their speeds are equal.
(a) Determine the time at which the cars pass each other, t, their speed, |v(t)|, and the distance d. Express your answers in terms of V and a. Also, compute x(t)/d, where x(t) is distance from Car A's initial position.
(b) If d = 200 m, V = 100 km/hr and the cars pass each other when t = 6 sec, compute a, |v(t)| and x(t).