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A particle moves according to the law gi...

A particle moves according to the law given below where x, v and a are displacement,velocity and acceleration respectively and `omega`, A are + ve constant then match the following.

Text Solution

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`A rarr (p, q, r, s), (B) rarr (r, s) , (C ) rarr (p, q , r, s) , (D) rarr (p, q , r, s)`
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Knowledge Check

  • For a particle moving in a straight line assume s,v,a and t represents displacement, velocity, acceleration and time respectively.

    A
    `{:(P,Q,R,S),(3,2,4,1):}`
    B
    `{:(P,Q,R,S),(1,3,2,4):}`
    C
    `{:(P,Q,R,S),(2,1,3,4):}`
    D
    `{:(P,Q,R,S),(4,1,3,2):}`

  • If the displacement velocity and acceleration of a particle at time t be x,v and f respectively, then which one is true?

    A
    `f=v^3(d^2t)/(dx^2)`
    B
    `f=-v^3(d^2t)/(dx^2)`
    C
    `f=v^2(d^2t)/(dx^2)`
    D
    `f=-v^2(d^2t)/(dx^2)`

  • A particle moves in xy plane accordin to the law x=a sin w t and y=a (1- cos w t ) where a and w are costant . The particle traces.

    A
    a parabola
    B
    a straight line equally inclined to `x` and `y` axes
    C
    a circle
    D
    a distane proportional to time.