Question Detail
Question
The area under an acceleration-time (a-t) graph over a given time interval represents the
Correct Answer
Option D is the correct answer.
Detailed Explanation
The integral of acceleration with respect to time gives the change in velocity. Graphically, the area under an acceleration-time curve between two times is equal to the integral ∫a dt, which equals Δv, the change in velocity during that interval.
Hint
Consider the relationship a = dv/dt. Rearranging, dv = a dt. The sum of small changes in velocity (dv) is the area under the a-t curve.