Question

A train travelling along a straight truck start from rest at point A and accelerated uniformly to 20 m/s in 20 second. It travels at this speed for 60 second. Then slow down uniformly to rest in 40 second at a point C. it stays at rest point C for 30 seconds. Then reverses direction accelerating uniformly to 10 m/s in 10 second. It travels at this speed for 30 second. Then slows down uniformly to rest in 10 second, when it reaches point B.
a) Plot a graph of the motion of the train.
b) Use your graph to accelerate
1) The train’s displacement from point A, when it reaches at point C.
2) The train’s displacement from point A, when it reaches at point B.
3) The train’s acceleration each times its speed changes.