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1 January, 02:02

Under which of the following conditions is the magnitude of the average velocity of a particle moving in one dimension smaller than the average speed over some time interval? a. A particle moves in the + x direction and then reverses the direction of its motion. b. A particle moves in the + x direction without reversing. c. There are no conditions for which this is true. d. A particle moves in the - x direction without reversing.

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  1. 1 January, 03:10
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    Answer: A.

    Explanation:

    For example,

    If you start from 0 and move 5 units in the positive x axis and reverse to return to 2 units from 0, your displacement will be 2 units but distance covered will be 8 units.

    Average velocity = Displacement / time

    = 2 / time

    Average speed = distance / time

    = 8 / time

    Here, time will be the same, so you can see that magnitude of the average velocity of a particle moving in one dimension smaller than the average speed over some time interval.
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