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Q.

A particle is moving along x-axis as x=at2+bt+c  ; where a, b and c are constant a = 1;  b = -5 and c = 6 and t is in second. Displacement of the particle during time t = 2 to t = 3 second will be

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a

0.5 m

b

0.25 m

c

1.00 m

d

Zero

answer is D.

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Detailed Solution

At t = 2 sec,  x = 0Particle will stop at t = 2.5 sec ; Distance covered by particle from t = 2 sec ; t = 2.5 second = 0.25 m ; ∴  Total distance covered by particle = 0.5 m
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A particle is moving along x-axis as x=at2+bt+c  ; where a, b and c are constant a = 1;  b = -5 and c = 6 and t is in second. Displacement of the particle during time t = 2 to t = 3 second will be