A police car at rest, passed by a speeder traveling at a constant 120km/h takes off in hot pursuit. The police officer catches up to the speeder in 750m, maintaining a constant acceleration.
(a) Qualitatively plot the position vs time graph for both cars from the police car’s start to the catch-up point. Calculate
(b) How long it took the police officer to overtake the speeder,
(c) The required police car acceleration and
(d) The speed of the police car at the overtaking point.