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Let v and a be the instantaneous velocit...

Let `v` and `a` be the instantaneous velocity and acceleration of a particle moving in a plane. Then rate of change of speed `(dv)/(dt)` of the particle is equal to

A

`|a|`

B

`(v.a)/v`

C

the component of `a` parallel to `v`

D

the component of `a` perpendicular to `v`

Text Solution

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The correct Answer is:
B, C
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Knowledge Check

  • 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 graph between instantaneous velocity and acceleration of a particle performing S.H.M. is

    A
    parabola
    B
    straight line
    C
    ellipse
    D
    circle

  • At any instant, the velocity and acceleration of a particle moving along a straight line are v and a. The speed of the particle is increasing if

    A
    `vgt0,agt0`
    B
    `vlt0,agt0`
    C
    `vgt0,alt0`
    D
    `vgt0,a=0`

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