Question

If $x=a{t}^2+bt+c$, where $x$ is the distance travelled by the body in kilometers while $t$ is the time in seconds, then the unit of $c$ is

• A. $\text{km}$
• B. $\text{km/s}$
• C. ${\text{km/s}}^2$
• D. $\text{unitless.}$

Answer 1

The correct option is A $\text{km}$

As per the question we have
$x=a{t}^2+bt+c$
$\Rightarrow \left[x\right]=\left[c\right]$
Hence, the unit of $c$ will be same as that of $x$ i.e. $\text{km}$.