A speeding motorist zooms through at 75km/h, without noticing a police car by the roadside. The police car immediately begins to chase the speeding motorist with an acceleration of 7.0 m/s^2.
a) Calculate the time it takes the police car to catch the speeding motorist.
b) Calculate how far the police car has to travel to catch the speeding motorist
c) Calculate the speed of the police car when it catches the speeding motorist.