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Assertion: The instantaneous velocity do...

Assertion: The instantaneous velocity does not depend on instantaneous position vector.
Reason: The instantaneous velocity and average velocity of a particle are always same.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If assersion is false but reason is true.

Text Solution

Verified by Experts

The correct Answer is:
C

As `vec v = (d vec s)/(dt)`, hence statement `1` is correct.
Instantaneous velocity is same always to average velocity if the particle is moving with constant velocity.
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Knowledge Check

  • The instantaneous velocity of a body can be measured

    A
    Graphically
    B
    Vectorially
    C
    By speedometer
    D
    None of these
  • Let v and a represent instantaneous velocity and acceleration of a particle respectively.

    A
    Acceleration a can be zero when velocity `v =cancel0`
    B
    Acceleration a can be nonzero when velocity v=0
    C
    Acceleration a can be zero when velocity v=0
    D
    Acceleration a must be zero when velocity v=0.
  • The ratio of instantaneous velocity and the average speed of the particle performing S.H.M. is

    A
    `2pi`
    B
    `(2)/(pi)`
    C
    `(pi)/(2)`
    D
    `(pi)/(2)sqrt(1-(x^(2))/(A^(2)))`
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    The graph between instantaneous velocity and acceleration of a particle performing S.H.M. is