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The distance travelled over the time period represented by the area under the v-t graph between the end points.

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Q: The area under a velocity-time graph represents?
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What does the area under a position vs time squared graph represents?

Nothing in particular. It certainly does not represent acceleration.


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The area under a graph of force against distance (or extension, if it's a spring) represents the work done by that force. Since it sounds like you're talking about a spring, you should know that the area would represent the work done to stretch the spring that distance, and also represents the amount of elastic potential energy contained by the spring.


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The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.


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What interpretation can you derive regarding the motion from the graph of instantaneous speed vs time graph?

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What is the area of a position time graph?

The area of a position-time graph does not have a meaning. However, the area under a velocity-time graph is the displacement. Refer to the related link below for an illustration.


What equals the displacement on a velocity-time graph?

Displacement is the area under the v-t graph.