Q. If $x = \ at + bt^{2}$, where $x$ is the distance travelled by the body in kilometre while $t$ is the time in second, then the units of $b$ are
A) $km/s$
B) $km - s$
C) $km/s^{2}$
D) $km - s^{2}$
Explanation
$\lbrack x\rbrack = \left\lbrack bt^{2} \right\rbrack \Rightarrow \lbrack b\rbrack = \left\lbrack x/t^{2} \right\rbrack = km/s^{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.