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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.
Velocity describes how position changes; acceleration describes how velocity changes. Two layers of change! Compared to displacement and velocity, acceleration is like the angry, fire-breathing dragon of motion variables. It can be violent; some people are scared of it; and if it's big, it forces you to take notice. Acceleration is the name we give to any process where the velocity changes. Since velocity is a speed and a direction, there are only two ways for you to accelerate: change your speed or change your directionâor change both.