Question

The area under velocity-time graph gives the of a body.

• A. acceleration
• B. distance
• C. displacement

Answer 1

The correct option is C displacement

We know, $\text{velocity}=\frac{\text{displacement of the body}}{\text{time taken}}$

i.e, $v=\frac{d}{t}$, where $v$ is the velocity, $d$ is the displacement, and $t$ is the time taken.
$\therefore d=v\times t$
Hence, the area under a velocity-time graph gives the displacement of the body.


For example, the total displacement of a body is given by the area under graph as shown above = Area of all the regions ($\text{A+B+C+D}$)