A sprinter practicing for the 200-m dash accelerates uniformly from rest at A and reaches a top speed of 41 km/h at the 61-m mark. He then m

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A sprinter practicing for the 200-m dash accelerates uniformly from rest at A and reaches a top speed of 41 km/h at the 61-m mark. He then maintains this speed for the next 83 meters before uniformly slowing to a final speed of 34 km/h at the finish line. Determine the maximum horizontal acceleration which the sprinter experiences during the run. Where does this maximum acceleration value occur

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  1. Answer:

    2.13 m/s^2.

    Find the remaining answer in the explanation

    Explanation:

    Given that a sprinter practicing for the 200-m dash accelerates uniformly from rest at A and reaches a top speed of 41 km/h at the 61-m mark. He then maintains this speed for the next 83 meters before uniformly slowing to a final speed of 34 km/h at the finish line.

    1.) The maximum horizontal acceleration will be when she attained her maximum speed. That is,

    Speed = 41 km/h

    Convert km/h to m/s

    (41×1000) / 3600

    Speed = 11.39 m/s

    Using speed formula to calculate time

    Speed = distance/time

    11.39 = 61/t

    t = 61/11.39

    t = 5.36s

    Where the distance = 61 m

    Maximum acceleration = velocity /time

    Maximum acceleration = 11.39/5.36

    Maximum acceleration = 2.13 m/s^2

    The maximum acceleration value occurs when the sprinter is starting from rest and attaining the maximum speed.

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