Question

The area under a $v–t$ graph represents a physical quantity that has the unit

• A. $m^2$
• B. $m$
• C. $m^3$
• D. $\frac{m}{s}$

Answer 1

The correct option is B

$m$

Explanation:

1. The area under the $v–t$ graph represents displacements in meters $\left(m\right)$.
2. We know that the unit of velocity (v) is $m/s$ and the unit of time is seconds.
3. thus, the unit of $v–t$ graph$=\frac{m}{s}\times s=m$, which is the unit of displacement.

Hence, the correct option is $B$.