Question: An airport shuttle train travels between two terminals that are 5 km apart. To maintain passenger comfort, the acceleration of the train is limited to

An airport shuttle train travels between two terminals that are 5 km apart. To maintain passenger comfort, the acceleration of the train is limited to ± 1.25 m/s2, and the jerk, or rate of change of acceleration, is limited to ± 0.25 m/s2 per second. If the shuttle has a maximum speed of 32 km/h, determine
(a) The shortest time for the shuttle to travel between the two terminals,
(b) The corresponding average velocity of the shuttle.

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