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A particle is moving in a circle of radi...

A particle is moving in a circle of radius 1 m with speed varying with time as v = (2t) m/s. In first 2 sec:

A

distance travelled by the particle is 4 m

B

displacement of the particle is 4 sin 2

C

average speed of the particle is `5m//s`

D

average velocity of the particle is zero

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The speed of a particle moving in a circle of radius r=2m varies witht time t as v=t^(2) , where t is in second and v in m//s . Find the radial, tangential and net acceleration at t=2s .

    A
    ` a=sqrt(80)m//s^(2)`
    B
    ` a=sqrt(30)m//s^(2)`
    C
    ` a=sqrt(20)m//s^(2)`
    D
    None of the above
  • A particle is moving in a circle of radius R with constant speed. The time period of the particle is T. In a time t=(T)/(6) Average speed of the particle is ……

    A
    `(pi R)/(6T)`
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    `(2pi R)/(3T)`
    C
    `(2 pi R)/(T)`
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  • A particle is moving in a circle of radius R with constant speed. The time period of the particle is T. In a time t=(T)/(6) Average velocity of the particle is…..

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    C
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    D
    `(4R)/(T)`
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