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.

Question

Engineering

Ronald

27 August, 23:07

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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Answers (1)

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Dallas Goodwin · Answer 1

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.