During a 400-m race, a runner crosses the 100 m mark with a velocity of 12 m/s. What would be her final position if she maintained her veloc

Question

During a 400-m race, a runner crosses the 100 m mark with a velocity of 12 m/s. What would be her final position if she maintained her velocity for another 10 seconds (in m)?

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Ngọc Khuê 1 year 2021-08-31T14:45:37+00:00 2 Answers 2 views 0

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    0
    2021-08-31T14:46:46+00:00

    Explanation:

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    0
    2021-08-31T14:47:07+00:00

    Answer:

    Explanation:

    Given that

    Total race distance is 400m

    Her initial velocity was 0m/s²

    At the 100m mark, after she has travelled 100m, her final velocity was v=12m/s²

    Using equation of motion

    Let determine her constant acceleration

    v²=u²+2as

    12²=0²+2×a×100

    144=0+200a

    144=200a

    a=144/200

    a=0.72m/s²

    Then we want to know her position after another 10second

    So total time is 10+12=22seconds

    Then, using equation of motion

    Let determine his postion

    S=ut+½at²

    S=0•t+½×0.72×22²

    S=0+174.24

    S=174.24 m

    Her position will be 174.24m

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