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Q.

Two objects moving along the same straight line are leaving point A with an acceleration a,2 a and velocity 2 u, respectively at time t = 0. The distance moved by the object with respect to point A when one object overtakes the other is:

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a

3u2a

b

2u2a

c

4u2a

d

6u2a

answer is D.

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Detailed Solution

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Let both will meet at point B.

x = 2ut + 12at2 ⇒ x = ut + 12(2a)t2

So 2ut + 12at2 = ut +at2

ut = 12at2  ⇒ t = 2ua

So  x = 2u(2ua)+12a(2ua)2 = 6u2a

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