One simple model for a person running the 100 m dash is to assume the sprinter runs with constant acceleration until reaching top speed, the

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One simple model for a person running the 100 m dash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line. If a sprinter reaches his top speed of

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Mít Mít 4 years 2021-08-26T06:33:17+00:00 1 Answers 82 views 0

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  1. kimcuc
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    2021-08-26T06:34:25+00:00
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    Complete Question:

    One simple model for a person running the 100 m dash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line. If a sprinter reaches his top speed of 11.5 m/s in 2.24 s, what will be his total time?

    Answer:

    total time = 6.24 s

    Explanation:

    Using the equation of motion:

    v = u + at

    initial speed, u = 0 m/s

    v = 11.5 m/s

    t = 2.24 s

    11.5 = 0 + 2.24a

    a = 11.5/2.24

    a = 5.13 m/s²

    For the total time spent by the sprinter:

    s = ut + 0.5at²

    100 = 0.5 * 5.13 * t²

    t² = 100/2.567

    t² = 38.957

    t = √38.957

    t = 6.24 s

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