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Physics (College)

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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 10.8 m/s in 2.54 s, what will be his total time?

  • Physics - ,

    While accelerating, he runs 5.4*2.54 = 13.72 meters. (The average speed is half the maximum).
    That leaves 86.28 m still to be run at 10.8 m/s. That will take 10.8/10.8 = 7.99 s.

    The total time for the 100 meters is
    7.99 + 2.54 = 10.53 s

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