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Statement I: The average velocity of the...

Statement I: The average velocity of the body may be equal to its instantaneous velocity.
Statement II: For a given time interval of a given motion, average veocity is single valued while average speed can have many values.

A

Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I.

B

Statemnt I is true, Statement II is true, Statement II is true, Statement II is false.

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Text Solution

Verified by Experts

The correct Answer is:
C
The average velocity of the body may be equal tio tis instantaneous velocity, becoause instantaneus velocity can take any value.
For a given time interval of a given motion, both average velocity and average speed can have only one value as displacement and distance will have single values.
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Knowledge Check

  • Assertion: The average velocity of a particle is zero in a time interval. It is possible that the instantaneous acceleration is never zero in the interval. Reason: The magnitude of average velocity in an interval is equal to its average speed in that interval.

    A
    If both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.
    B
    If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.
    C
    If Assertion is Trie but the Reason is False.
    D
    If both Assertion `&` Reason are false

  • The ratio of the numerical values of the average velocity and average speed of a body is always.

    A
    Unity
    B
    Unity or less
    C
    Unity or more
    D
    Less than unity

  • It magnitude of average speed and average velocity over an interval of time are same, then

    A
    Particle must move with zero acceleration
    B
    Particle must move with uniform acceleration
    C
    Particle must be at rest
    D
    Particle must move in a straight line without turning back

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    Prove that average velocity of an object can never be greater than the average speed of an object over a given interval of time.

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    For a body moving along a circular path the average velocity and average speed can never be equal.

    For a body moving along a circular path the average velocity and average speed can never be equal

    Under what conditions (s) is the magnitude of average velocity of an object equal to its average speed ?

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