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Q.

Velocity v of a particle moving along positive  x axis as a function of time is given by v = 2t m/s. Initially the particle is to the right of the origin and 2 m away from it. Find the displacement of the particle after first 3 s.

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a

5 m

b

7 m

c

11 m

d

9 m

answer is D.

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Detailed Solution

Final distance of the particle from the origin = 2+ ∫032tdt  =(2+9) m =11 m.So displacement = final position - initial position = (11-2) m = 9 m
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