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A particle starts moving rectilinearly a...

A particle starts moving rectilinearly at time `t=0` such that its velocity `v` changes with time `t` according to the equation `v=t^(2)-t`, where `t` is in seconds and `v` in `ms^(-1)`. Find the time interval for which the particle retards.

A

`(1)/(2) lt t lt 1`

B

`(1)/(2) gt t gt1`

C

`(1)/(4) lt t lt 1`

D

`(1)/(2) lt t lt(3)/(4)`

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  • A particle starts moving rectilinearly at time t = 0 such that its velocity v changes with time t according to the equation v = t^2-t , where t is in seconds and v is in m s^(-1) . The time interval for which the particle retrads (i.e., magnitude of velocity decreases)is

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    `t lt 1//2`
    B
    `1//2 ltt lt1`
    C
    `tgt1`
    D
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    `t lt 1//2`
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    `1//2 lt tlt 1`
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