Interpreting Graphs: Position, Velocity & Acceleration

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In a position versus time graph, the area under the curve represents displacement, while the slope at any point indicates velocity. For an acceleration versus time graph, the area under the curve corresponds to the change in velocity over the time interval. Velocity is defined as the rate of change of displacement. To find a relative position at a given time using a velocity graph or equation, additional information about an initial position is necessary for an absolute position. Understanding these relationships is crucial for interpreting motion graphs accurately.
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I can't post up the graph but I just need some help with general ideas. If I have a position v. time graph will the area under the curve be the acceleration? Also, in an acceleration v. time graph does the area under the curve represent anything? And if I have a velocity graph or velocity equation do I have enough information to determine a position at a given time without knowing any positions?
 
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azn4lyf89 said:
I can't post up the graph but I just need some help with general ideas. If I have a position v. time graph will the area under the curve be the acceleration? Also, in an acceleration v. time graph does the area under the curve represent anything? And if I have a velocity graph or velocity equation do I have enough information to determine a position at a given time without knowing any positions?

In a position v time graph the area under the curve is displacement.
The tangent (or slope) at any point is the velocity (rate of displacement change).
The area under an acceleration v time graph will yield the velocity across the time interval.
Velocity is a rate of change of displacement. You can determine a relative position over a time interval, but not an absolute one without knowledge of some position.
 
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