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Q.

The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t=x+3, wherex is in meters and t is in seconds. Find the displacement of the particle when its velocity is zero.

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a

Zero

b

12 m

c

6 m

d

18 m

answer is A.

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Detailed Solution

t=x+3, Differentiating with respect to t, we get1=12xdxdt+0 or dxdt=2x When velocity is zero, 2x=0 or x=0.

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The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t=x+3, wherex is in meters and t is in seconds. Find the displacement of the particle when its velocity is zero.