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A moving body is covering distances which are proportional to square of the time. Then, the acceleration of the body is ____________.

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Question

A moving body is covering distances which are proportional to square of the time. Then, the acceleration of the body is ____________.

Options

  • zero

  • increasing

  • constant but not zero

  • decreasing

MCQ
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Solution

A moving body is covering distances which are proportional to square of the time. Then, the acceleration of the body is constant but not zero.

Explanation:

According to question,

`"s" ∝ "t"^2` or s = ct2

where, c = constant.

v = `"ds"/"dt"` = 2ct m/s

and a = `"dv"/"dt"` = 2c m/s2

∴ The body's acceleration is constant, but not zero.

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