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Q.

A body is at rest x = 0. At t = 0, it starts moving in the positive x direction with a constant acceleration. At the same instant, another body passes through x = 0 moving in the positive x-direction with a constant speed. The position of the first body is given by x1(t) after time t and that of the second body by x2(t) after the same time interval. Which of the following graphs correctly describes (x1  x2) as a function of time t ?

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a

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b

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c

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d

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answer is B.

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Detailed Solution

According to question, we get

 x1(t) = (12at2) x2(t)=vt  x1-x2=12at2-vt  

so according to the options , option B matches.

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