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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.
As you can see momentum vs. time graph and velocity vs. time graphs of the system are similar because momentum is directly proportional to the velocity. Example The graph given below belongs to an object having mass 2kg and velocity 10m/s.t moves on a horizontal surface. If a force is applied to this object between (1-7) seconds find the velocity of the object at 7. Second. Area under the graph gives us impulse. First, we find the total impulse with the help of graph given above then total impulse gives us the momentum change.