Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_22

2/22 Car A is traveling at a constant speed \( v_A = 130 \text{ km/h} \) at a location where the speed limit is \( 100 \text{ km/h} \). The police officer in car P observes this speed via radar. At the moment when A passes P, the initially stationary police car begins to accelerate at the constant rate of \( 6 \text{ m/s}^2 \) until a speed of \( 160 \text{ km/h} \) is achieved, and that speed is then maintained. Determine the distance required for the police officer to overtake car A. Neglect any nonrectilinear motion of P.