Question

A speeding motorist passes a parked police car at a constant straight-line speed of 110kmh^-1
in a zone with a speed restriction of 80kmh^-1. Then, 4 seconds later, the driver of the police car
starts accelerating from rest at 3ms^-2. She maintains this acceleration until her speed is 140kmh^-1
and then continues at a constant speed. The motorist becomes aware of the pursuit 8 seconds after
it starts and immediately starts decelerating at 1ms^-2. How long does it take the police car to
overhaul the motorist?