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17 September, 12:11

The world record for the 100.0 meter dash is 9.580 seconds. Find the speed of the runner in miles per hour.

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  1. 17 September, 14:42
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    233.1 miles per hours

    Explanation:

    Speed: This is defined as the ratio of distance to time. The S. I unit of speed is m/s. speed is a vector quantity because it can only be represented by magnitude only. Mathematically, speed can be expressed as,

    S = d/t ... Equation 1

    Where S = speed of the runner, d = distance covered, t = time.

    Given: d = 100 meter, t = 9.580 seconds

    Conversion:

    If, 1 meter = 0.00062 miles

    Then, 100 meters = (0.00062*100) miles = 0.62 miles.

    Also

    If, 3600 s = 1 h

    Then, 9.580 s = (1*9.580) / 3600 = 0.00266 hours.

    Substitute into equation 1

    S = 0.62/0.00266

    S = 233.1 miles per hours.

    Hence the runner speed is 233.1 miles per hours
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