Question

What does the area under acceleration-time graph represent for any given time interval?

• A. Final velocity
• B. Distance travelled
• C. Change in the velocity in that time interval
• D. Displacement of the particle

Hint:

Remember — area under an acceleration-time graph gives the change in velocity, while area under a velocity-time graph gives displacement.

Answer 1

The Correct Option is C

The area under an acceleration-time graph over a given time interval represents the change in velocity during that interval.
This follows from the relation: \[ \Delta v = \int a\,dt \] where \( a \) is the acceleration and \( \Delta v \) is the change in velocity.
The definite integral (or area under the curve) gives the total change in velocity for the specified duration.