The car has a constant speed vM and passes x = 0 at t = 0. The police motor starts at x = 0 with constant acceleration ap at t = t1 (with t1 > 0 ). (a) Calculate the time t at which the motorist and the police are at the same position. (b) When the police wants to catch the car at position x = XC, what acceleration ap should he/she have? Express ap in Xc, vM and t1.