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 retards (i.e., magnitude of velocity decreases) is:

t < 1 / 2

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1 / 2 < t < 1

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t > 1

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t < 1 / 2

and

t > 1

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Solution

The correct option is A $t < 1 / 2$

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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=t2−t, where t is in seconds and v is in ms−1. The time interval for which the particle retards (i.e., magnitude of velocity decreases) is:

The correct option is A t<1/2

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 retards (i.e., magnitude of velocity decreases) is:

The correct option is A $t < 1 / 2$