Motion

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Question 7
Medium

The graph below shows the velocity-time model for a high-speed test train traveling between two stations.

Train Velocity-Time Graph

The train accelerates uniformly from rest to a maximum velocity of V m s−1V\text{ m s}^{-1}V m s−1 in 20 s. It maintains this constant velocity for 40 s (from t=20 st = 20\text{ s}t=20 s to t=60 st = 60\text{ s}t=60 s), and then decelerates uniformly to rest at t=75 st = 75\text{ s}t=75 s.

Given that the total distance traveled between the two stations is 1150 m, find the value of VVV.

10 m s−110\text{ m s}^{-1}10 m s−1

20 m s−120\text{ m s}^{-1}20 m s−1

23 m s−123\text{ m s}^{-1}23 m s−1

30.7 m s−130.7\text{ m s}^{-1}30.7 m s−1

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