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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.
Constant acceleration motion can be characterized by motion equations and by motion graphs. The graphs of distance, velocity and acceleration as functions of time below were calculated for one-dimensional motion using the motion equations in a spreadsheet. The acceleration does change, but it is constant within a given time segment so that the constant acceleration equations can be used.