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Q.

A body is at rest at x = 0, at t = 0, it starts moving in the positive X - direction with a constant acceleration. At the same instant, another body passes to 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 graph correctly describes (x1x2) as a function of time?

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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

Here, X2=vtandX1=at22 
X1X2=(at22vt) 
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A body is at rest at x = 0, at t = 0, it starts moving in the positive X - direction with a constant acceleration. At the same instant, another body passes to 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 graph correctly describes (x1−x2) as a function of time?