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During the first quarter of the journey from station A to station B, the velocity of a train is uniformly accelerated and during the last

During the first quarter of the journey from station A to station B, the velocity of a train is uniformly accelerated and during the last quarter it is uniformly decelerated. During the middle half of the journey the speed is uniform. Show that the average speed of the train is 3/4 of the maximum speed.

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