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Q.

Two objects moving along the same straight line are leaving point A with an acceleration a,2a and velocity 2u, u respectively at time t=0. The distance moved by theobject 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

Let both will meet at point Bx=2ut+12at2⇒x=ut+12(2a)t2 So 2ut+12at2=ut+at2 ut=12at2⇒t=2ua So x=2u2ua+12a2ua2=6u2a
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Two objects moving along the same straight line are leaving point A with an acceleration a,2a and velocity 2u, u respectively at time t=0. The distance moved by theobject with respect to point A when one object overtakes the other is