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Physics Motion in a Straight Line Mix MCQ (Single Correct)

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

A
B
C
D
none of these

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Verified by Experts
The correct answer is:
A

Suppose at point B (displacement S) II particle overtakes particle I

For I particle S = (2u) t + a t 2 .............

For II particle

S = u t + (2a) t 2 ....................

2ut + a t 2 = ut + (2a) t 2

ut = a t 2

t =

Putting this value in equation we get

S = 2u × + × a ×

= + =

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