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If $x=a t+b t^2$, where $x$ is the distance travelled by the body in kilometers while $t$ is the time in seconds, then the unit of $b$ is
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The correct answer is:
$\mathrm{km} / \mathrm{s}^2$
$[\mathrm{x}]=\left[\mathrm{bt}^2\right]$. Hence $[\mathrm{b}]=\left[\mathrm{x} / \mathrm{t}^2\right]=\mathrm{km} / \mathrm{s}^2$.
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