If the maximum acceleration that is tolerable for passengers in a subway train is 1.39 m/s2 and subway stations are located 780 m apart, wha

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If the maximum acceleration that is tolerable for passengers in a subway train is 1.39 m/s2 and subway stations are located 780 m apart, what is the maximum speed a subway train can attain between stations

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Bình An 4 years 2021-08-01T10:02:40+00:00 1 Answers 12 views 0

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  1. Edana
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    2021-08-01T10:03:56+00:00
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    Answer:

    The maximum speed a subway train can attain between stations is 32.93 m/s.

    Explanation:

    Given;

    maximum tolerable acceleration = 1.39 m/s²

    distance between subway train, d = 780 m

    The distance available to accelerate between stations = ¹/₂ x 780 m = 390 m

    Apply the following kinematic equation to determine the maximum speed;

    v² = u² + 2ad

    v² = 0 + 2ad

    v² = 2(1.39)(390)

    v² = 1084.2

    v = √1084.2

    v = 32.93 m/s

    Therefore, the maximum speed a subway train can attain between stations is 32.93 m/s.

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