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A car of mass M accelerates starting fro...

A car of mass `M` accelerates starting from rest. Velocity of the car is given by `v=((2Pt)/(M))^((1)/(2))` where `P` is the constant power supplied by the engine. The position of car as a function of time is given as

A

`((8P)/(9M))^((1)/(2)) t^((3)/(2))`

B

`((9P)/(8M))^((1)/(2)) t^((3)/(2))`

C

`((8P)/(9M))^((1)/(2))t^((2)/(3))`

D

`((9P)/(8M))t^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Here `v =((2Pt)/(M))^((1)/(2))` or `(ds)/(dt) = ((2Pt)/(M))^((1)/(2))` or `ds = ((2Pt)/(M))^((1)/(2)) dt`. Inegrate to find 's'.
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Knowledge Check

  • A constant power P is applied to a car starting from rest If v is the velocity of the car at time t,then

    A
    `v prop t`
    B
    `v prop 1/t`
    C
    `v prop sqrtt`
    D
    `v prop 1/sqrtt`

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    B
    `v prop 1/t`
    C
    `v prop sqrtt`
    D
    `v prop 1/sqrtt`

  • A constant power P is applied to a car starting from rest. If v is the velocity of the car at time t, then:

    A
    `v prop t`
    B
    `v prop (1)/(t)`
    C
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    D
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