2/26 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 begins to accelerate at the constant rate of 6 m/s² 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. Neglect any non rectilinear-motion of P.

Fig: 1

Fig: 2