Car A is traveling at a constant speed va= 130 km/h at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. At the moment when A passes P, the police car begines to accelerate at the constant rate of 6m/s^2 until a speed of 160km/h is achieved, and that speed is then maintained. Determine the distance required for the police officer to overtake car A. Neglect any non-rectiliniar motion of P.