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What does the area under a velocity versus time graph give?
AThe acceleration
BThe starting position
CThe displacement
DThe final velocity
Answer & Solution
Correct answer: C. The displacement
1. Velocity multiplied by time gives a change in position, and area on a graph is a product of the two axes.
2. The area under the velocity versus time graph therefore gives the displacement.
3. The gradient of the same graph gives the acceleration, which is a different reading.
4. Area below the time axis counts as displacement in the negative direction.
_Source: Siyavula Physical Sciences Grade 10 (Everything Science, CC BY 4.0), Chapter 21: Motion in one dimension_
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