Question

The area under the acceleration-time graph gives

• A. Distance in travelled
• B. Change in acceleration
• C. Force acting
• D. Change in velocity

Answer 1

The correct option is D

Change in velocity

Step 1: Diagram of the area under the acceleration-time

Step 2: Compute the area

1. It is understood that the acceleration-time graph shows the acceleration plotted against time for a particle moving in a straight line.
2. Acceleration is known as change of velocity with respect to time that is,$a=\frac{\Delta v}{\Delta t}----\left(1\right)$
3. Multiply both sides by $\Delta t$ in equation $\left(1\right)$,
4. $a\times \Delta t=\Delta v$
5. $Areaunderaccelerationtimegraph=\Delta v$
6. The change in velocity is represented by the area under an acceleration time graph. In other words, the change in velocity for a given time interval is equal to the area under the acceleration graph for that time interval.

Thus, the area under the acceleration-time graph gives the change in velocity.

Hence, option D is the correct answer.