A train, starting from rest from station A, travels along a straight horizontal track until it stops at station B, which is 2400 m from A. Initially, the train accelerates at a uniform rate of 0·4 ms–2 until it reaches a speed of 16 ms–1. It then maintains this speed of 16 ms–1 for T s, before decelerating uniformly to rest in 20 s.
Draw a sketch of the v-t graph for the journey from A to B.
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The motion of the train has three stages .
At the first stage it accelerates from rest and reach 16m/s within 40s.
At the second stage if maintains its speed of 16m for T seconds.
At the final stage it decreasing speed to rest by deceleration within 20s.
The velocity time graph attached in the image.
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