A police car starts moving with 5 m s^-2 acceleration 6 s after a car passes by at 20 m s^-1. How many meters ahead does the police car catch the car?

1. x_0 = 120 m. 2. 2.5t^2 – 20t – 120 = 0 -> t = 12 s. 3. Distance = 0.5 * 5 * 12^2 = 360 m.