If x = at + bt^2, where x is the distance

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

A

$km/s$

B

$km - s$

C

$km/{s^2}$

D

$km - {s^2}$

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

$[x] = [b{t^2}] \Rightarrow [b] = [x/{t^2}] = km/{s^2}$