Question

Help!! A train starts its motion from rest and moves with a uniform acceleration,uniform velocity and uniform deceleration and comes to rest.Then it stays at rest for a while and moves with a uniform acceleration, uniform velocity and then uniform deceleration and comes to it's starting point.

Sketch the acceleration- time graph for the entire motion

Answer 1

The graph shows the train's motion pattern of accelerating, maintaining a constant speed, decelerating, and coming to rest, followed by repeating the same cycle.

The train accelerates from rest at a constant rate, represented by an upward-sloping line on the acceleration-time graph. This indicates that the train's speed is increasing linearly with time.

After reaching a certain maximum speed, the train maintains a constant velocity for a period of time. The acceleration-time graph for this phase is a horizontal line, indicating that the train's speed remains constant.

After a brief period of rest, the train undergoes the same motion pattern as in Phase 1, starting with a constant acceleration, followed by constant velocity, and then constant deceleration until it comes to a rest at its starting point.