Car A is traveling at Va=130km/h as it passes a police officer in car P, but over the next 5 seconds, the car uniformly decelerates to the speed limit of 100 km/h, and after that the speed limit is maintained. At the moment when A passes P, the police car begins to accelerate at the constant rate of 6m/s^2 until a speed of 160 km/h is achieved, and that speed is then maintained, determine the distance required for the police officer to overtake car A.