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A body is moved along a straight line by...

A body is moved along a straight line by a machine delivering constant power, the distance moved by the body in time in proportional to :

A

`t^(3//2)`

B

`t^(3//4)`

C

`t^(2)`

D

`t^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
a
Since Power is constant .
`:. ML^(2)T^(-3)`= constant
As M is constant
`:. L^(2)T^(-3)const. implies L^(2) propT^(3) LpropT^(3//2)`
or distance `prop` `("time")^(3//2)`
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Knowledge Check

  • A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time is proportional to :

    A
    `t^(1//2)`
    B
    `t^(3//4)`
    C
    `t^(3//2)`
    D
    `t^(1//4)`

  • A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional is :

    A
    `t^(1//2)`
    B
    `t^(3//4)`
    C
    `t^(3//2)`
    D
    `t^(2)`

  • A body is moving unidirectionally under the influence of a source of constant power. Its displacement in time t is proportional to

    A
    `t^(1/2)`
    B
    `t`
    C
    `t^(3/2)`
    D
    `t^2`

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