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The acceleration of a particle increasin...

The acceleration of a particle increasing linearly with timer is be. The particle starts from the origin with an initial velocity, The distance travelled by the particle in time will be

A

`ut+(bt^(3))/(3)`

B

`ut+(bt^(3))/(3)`

C

`ut+(bt^(3))/(6)`

D

None of these

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The acceleration of a particle is increasing linearly with time t as bt. The particle starts from origin with an initial velocity u. The distance covered by the particle in time t is :

    A
    `ut +(bt^(3))/(3)`
    B
    `ut+(bt^(3))/(3)`
    C
    `ut+(bt^(3))/(6)`
    D
    None of these.

  • The acceleration a' in ms-2 of a particle is given by a = 3t^2 +2t+2, where is the time. If the particle starts with a velocity v = 2 m s-at i=0 then velocity at the end of 2 sec is:

    A
    12`m s^(-1)`
    B
    18 `m s^(-1)`
    C
    27 `m s^(-1)`
    D
    36 `m s^(-1)`

  • The time period of a particle in simple harmonic motion is 8 second. At t = 0 it is at the mean position. The ratio of the distances travelled by it in the first and second is :

    A
    `1//2`
    B
    `1//(sqrt(2)-1)`
    C
    `1//sqrt(2)`
    D
    `1//sqrt(3)`.

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