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Acceleration vs. time graphs tell us about an objectâs velocity in the same way that velocity vs. time graphs tell us about an objectâs displacement. The change in velocity in a given time interval is equal to the area under the graph during that same time interval.
If an object, for example, goes faster and faster (or slower and slower), then it is accelerating. The difference is that velocity refers to the speed of something while acceleration refers to the increase of that speed. For example you step on the accelerator to increase the velocity (speed) of your car.