A Mustang is travelling along the highway at a constant 36 m/s [N] when it passes an unmarked police car. It takes the officer 3.0 s to secure his coffee, then he pursues the Mustang with a uniform acceleration of 6.0 m/s 2 [N]. The police car reaches a velocity of 48 m/s [N], then cruises at a constant velocity until it catches the Mustang. Find the time it takes the police car to catch up to the Mustang.