A vehicle travelling at 1.5ms-1accelerates with constant acceleration of 3ms-2up to a speed of 12ms-1. It then travels at 12ms-1for 19 seconds after which time it is retarded to a speed of 2ms-1, the complete motion totalling 36 seconds.Make an initial sketch of the motion in graphical formDetermine:a)The time taken to reach 12ms-1b)The retardation.c)The total distance travelled.