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The instantaneous velocity of a partical...

The instantaneous velocity of a partical at any instant is equal to time derivative of its position vector and the instancous vector. Which of the following options are wrong ?

A

The instantancous velocity depends on the instantaneous position vector.

B

Instantaneous acceleration is independent of instantaneous position vector and instantaneous velocity.

C

Instananeous acceleration is independent of instantaneous position vector but depends on the instantanous velocity.

D

Instantaneous acceleration depends both on the instantaneous postion vector and instantaneous velocity.

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Because ` vec(v) =(d vecs)/(dt) and vec(a) = (d vecc)/( dt)`
hence, velocity is independent of instaneous value of the displacement and acceleration does not depend upon the instantaneous value of velocity. Hence, a,c,d, are incorrect
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Knowledge Check

  • The instantaneous velocity of a particle is equal to time derivative of its position vector and the instantaneous acceleration is equal to time derivatives of its velocity vector. Therefore :

    A
    the instantaneous velocity depends on the instantaneous position vecoty
    B
    instantaneous acceleration is independent of instantaneous position vector and instantaneous velocity
    C
    instantaneous acceleration is independent of instantaneous position vector but depends on the instantaneous velocity
    D
    instantaneous acceleration depends both on the instataneous position vector and the instantaneous velocity.

  • Which one of the following vector equations is wrong ?

    A
    `vec P + vec Q = vec R`
    B
    `vec P - vec Q = vec R`
    C
    `vec P + Q= vec R`
    D
    `vec P = vec R - vec Q`

  • If vecA and vecB are two vectors, then which of the following is wrong?

    A
    `vecA.vecB=vecB.vecA`
    B
    `vecA+vecB=vecB+vecA`
    C
    `vecAxxvecB=vecBxxvecA`
    D
    `vecAxxvecB=-vecBxxvecA`

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