A marathon runner runs a 200m sprint in 10 seconds. It is known that he started standing still. Then determine the acceleration achieved by

Question

A marathon runner runs a 200m sprint in 10 seconds. It is known that he started standing still. Then determine the acceleration achieved by him knowing that his final speed was 36 km / h.

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Ben Gia 3 years 2021-08-25T09:03:17+00:00 1 Answers 4 views 0

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  1. hongcuc2
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    2021-08-25T09:05:00+00:00
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    Answer:

    The acceleration of the runner is 0.25 m/s²

    Explanation:

    Given;

    distance covered by the runner, d = 200 m

    time of motion, t = 10 s

    initial velocity of the runner, u = 0 (he started standing still)

    final velocity of the runner, v = 36 km/h = 10 m/s

    Therefore, to achieve the final speed of the runner, his acceleration is calculated as follows;

    v² = u² + 2as

    10² = 0 + (2 x 200)a

    100 = 400a

    a = 100/400

    a = 0.25 m/s²

    The acceleration of the runner is 0.25 m/s²

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