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Question: Answered & Verified by Expert
If $x=a t+b t^2$, where $x$ is the distance travelled by the body in kilometres while $t$ is the time in seconds, then the units of 6 are
PhysicsUnits and DimensionsJEE Main
Options:
  • A $\mathrm{km} / \mathrm{s}$
  • B $\mathrm{km} - \mathrm{s}$
  • C $\mathrm{km} / \mathrm{s^{2}}$
  • D $\mathrm{km} - \mathrm{s^{2}}$
Solution:
1993 Upvotes Verified Answer
The correct answer is: $\mathrm{km} / \mathrm{s^{2}}$
$[x]=\left[b t^2\right] \Rightarrow[b]=\left[x / t^2\right]=k m / s^2$

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