Q.

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 / is in seconds and v is in ms-1. The time interval for which the particle retards (i.e., magnitude of velocity decreases) is

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a

t < 1/2

b

1/2 < t < 1

c

t > 1

d

t < 1/2 and t > 1

answer is B.

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Detailed Solution

v=t2−t⇒a=dvdt=2t−1For retardation, av < 0 ⇒    t2−t(2t−1)<0⇒    t(t−1)(2t−1)<0This is possible for 12
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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 / is in seconds and v is in ms-1. The time interval for which the particle retards (i.e., magnitude of velocity decreases) is