Q.

Two particles A and B are initially at rest at the origin. They simultaneously start moving along positive x-axis, ‘A’ with constant velocity u and B with constant acceleration ‘a’. Then find the separation between the particles when their relative velocity is zero.

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a

u24a

b

u22a

c

u2a

d

2u2a

answer is B.

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Detailed Solution

Relative velocity at time t,  Vr=u−atInitially acceleration,  ar=−aUsing Vr2=ur2+2arxr,O=u 2+2−a .  xr⇒    xr=u22a
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Two particles A and B are initially at rest at the origin. They simultaneously start moving along positive x-axis, ‘A’ with constant velocity u and B with constant acceleration ‘a’. Then find the separation between the particles when their relative velocity is zero.