Question

Area under velocity-time graph gives:

• A. Distance travelled by the body
• B. Acceleration of the body
• C. Displacement of the body
• D. Speed of the body

Answer 1

The correct option is C Displacement of the body

From definition of velocity,
$v=\frac{d}{t}$
where:
$d-$ Displacement
$t-$ Time taken
$\therefore d=v\times t$

Hence, the area under a velocity-time graph gives the displacement of the body.
In the above graph, the total displacement is given by the area under graph = Area of all the regions $(A+B+C+D)$.