A police car (initially located at x = 0 m) spots a biker speeding at a constant speed of vb = 144 km/h. The biker drives by the exact position of the police car at t = 0 s. It takes 5 s for the police officer to run to her car, start the engine and begin accelerating at a constant acceleration of ap = 10 m/s2 . Assume the road is straight and the positive x-direction points along the road. a) (1 mark) Determine an expression for the position of the biker as a function of time xb(t) b) (2 marks) Determine an expression for the position of the police car as a function of time xp(t). c) (4 marks) Use these two equations to find the time for the police to reach the biker