If the displacement of a body is proportional to the square of the time elapsed, what type of motion does the body possess?

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Uniform accelerated motion

Non-uniform accelerated motion

It can’t be said

None of the above

answer is A.

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Detailed Solution

If the displacement of a body is proportional to the square of the time elapsed, the body possesses uniform accelerated motion.
According to Newton’s second equation of motion, the distance/displacement for a uniformly accelerated body is given by the relation

s = ut + 0.5 {at}^{2}

From the above equation, it can be said that the displacement is directly proportional to the square of the time and also the equation is applicable only to the uniformly accelerated motion.

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