Car A is traveling at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. The driver of car A is traveling at vA = 130 km/h as it passes P, but over the next 4.8 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 6.0 m/s2 until a speed of 153 km/h is achieved, and that speed is then maintained. Determine the distance s required for the police officer to overtake car A.

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Car A is traveling at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. The driver of car A is traveling at vA = 130 km/h as it passes P, but over the next 4.8 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 6.0 m/s2 until a speed of 153 km/h is achieved, and that speed is then maintained. Determine the distance s required for the police officer to overtake car A.

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