Hi guys I'm really struggling on this Mechanics question. I would really appreciate it if you could help me out.
Two trains A and B run on parallel straight tracks. Initially both are at rest in a station and level with each other. At time t=0, A starts to move. It moves with constant acceleration for 12 s up to a speed of 30m/s, and then moves at a constant speed of 30m/s. Train B starts to move in the same direction as A when t=40, where t is measured in seconds. It accelerated with the same initial acceleration as A, up to a speed of 60m/s. It then moves at a constant speed of 60m/s. It thenmoes at a constant speed of 60m/s. Train B overtakes A after both trains have reached their maximum speed. Train B overtakes A when t=T.
a). Sketch, on the same diagram, the speed-time graphs of both trains for 0≤t≤T. (3 marks)
b). Find the value of T. (9 marks)