A motorist is traveling at a constant speed 150 km/hr in a 50 km/hr speed zone. Three seconds after the car passes , the police car starts off in pursuit. The police car accelerates at 2 m/s^2 up to a speed of 70 m/s and then continues at this speed until the police car overtakes the speed of the motorist. How long, from the time the motorist passes the police car does it take the police car to overtake the motorist?

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