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Q.

If a particle is moving along a straight line and following is the graph showing acceleration varying with time then choose correct statementAt  t=0,  x=o,  and  v0=7m/s

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a

Its displacement can never become zero

b

Its velocity can never become zero

c

Its displacement can become zero

d

Its velocity can become zero

answer is A.

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Detailed Solution

Are under a – t graph gives change in velocity from this, it can be inferred that the velocity changes by more than 7 m/s, so it has to be zero once before the particle changes direction of motion.initially acceleration is -ive and velocity is +ive. ie the bosy is decelerating. And comes to rest after some time. Changes its direction in opposite side. area undet Vt graph give change in velocity ΔV for first 4seconds=12×4×-4=-8m/swhen acceleration and velocity are +ive, body moves in initial direction. Object cannot reach initial position.However the displacement of body can never be zero as the particle continues to move further
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