A police motorcyclist is stationary when a car passes, driving dangerously at a constant speed of 40 ms. At
the instant the car passes, the motorcyclist gives chase, accelerating at 2.5 ms until reaching a speed of
50 ms before continuing at a constant speed. Show that the motorcyclist has not caught the car by the time
he reaches top speed. Find how long after the car initially passed him the motorcyclist catches up to the car.
