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18 June, 18:40

A quarterback back pedals 3.3 meters southward and then runs 5.7 meters northward. For this motion, what is the distance moved? What is the magnitude and direction of the displacement?

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  1. 18 June, 21:48
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    The distance moved is 9 meters

    The magnitude of the displacement is 2.4 meters

    The direction of the displacement is northward

    Explanation:

    - Distance is the length of the actual path between the initial and the

    final position. Distance is a scalar quantity

    - Displacement is the change in position, measuring from its starting

    position to the final position. Displacement is a vector quantity

    The quarterback pedals 3.3 meters southward

    That means it moves down 3.3 meters

    Then runs 5.7 meters northward

    That means it runs up 5.7 meters

    The distance = 3.3 + 5.7 = 9 meters

    The distance moved is 9 meters

    It moves southward (down) for 3.3 meters and then moves northward

    (up) for 5.7

    It moves from zero to 3.3 down and then moves up to 5.7

    The displacement = 5.7 - 3.3 = 2.4 meters northward

    The magnitude of the displacement is 2.4 meters

    The direction of the displacement is northward
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