If \bar{x} = at + bt^{2} , where X is the distance travelle…

Physics Units, Dimensions and Measurement Units Single Correct MCQ

Published on: September 12, 2026

If \bar{x} = at + bt^{2} , where X is the distance travelled by the body in kilometres while t is the time in seconds, then the units of b are

km/s

\(km\cdot s^{-1}\)

km/s^{2}

\(\mathrm{km\cdot s^{-2}}\)

Text Solution

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The correct answer is:

\(\left[ x \right] = \left[ b t^{2} \right] \Rightarrow \left[ b \right] = \left[ x / t^{2} \right] = \mathrm{km} / \mathrm{s}^{2}\)

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