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Average speed is always equal to magnitu...

Average speed is always equal to magnitude of average velocity. Is this statement true or false ?

Text Solution

Verified by Experts

The correct Answer is:
A
Distance may be greater than or equal to magnitude
of displacement.
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When is the average speed of an object equal to the magnitude of its average velocity ? Give reason also.

Assertion: Average speed in an interval cannot be less than the magnitude of average velocity in the same interval Reason: For a particle in motion distance travelled is always greater than or equal to the magnitude of the displacement.

Are the magnitudes of average velocity and average speed equal?

The instantaneous speed is always equal to the magnitude of instantaneous velocity. Why?

Usually average speed means the rationof total distace travelled to the total time elapsed. However, sometimes thephrase average speed can vean the magnitude of the average velocity. Are the two same ? Discuss.

Which of the following statements is /are correct ? I.Average speed over a finite interval of times is greater or equal to the magnitude of the average velocity. The instantaneous speed at an instant is equal to the magnitude of the instantaneous velocity at that instant.

Knowledge Check

  • A particle travels two and a half revolutions of the circle of radius R in time t. The ratio of the average speed of the particle to the magnitude of the average velocity in this time interval is

    A
    `(pi)/(2)`
    B
    `(5pi)/(sqrt2)`
    C
    `(5pi)/(2)`
    D
    `(pi)/(5sqrt2)`

  • Assertion: Average speed in an interval cannot be less than the magnitude of average velocity in the same interval Reason: For a particle in motion distance travelled is always greater than or equal to the magnitude of the displacement.

    A
    both assertion and reason are correct and reason is a correct explanation of the assertion.
    B
    both assertion and reason are correct but reason is not the correct explanation of assertion.
    C
    assertion is correct but reason is incorrect
    D
    assertion is incorrect but reason is correct.

  • Which of the following statements is /are correct ? I.Average speed over a finite interval of times is greater or equal to the magnitude of the average velocity. The instantaneous speed at an instant is equal to the magnitude of the instantaneous velocity at that instant.

    A
    Only I
    B
    Only II
    C
    Both I and II
    D
    None is correct