Interpreting Graphs: Position, Velocity & Acceleration

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SUMMARY

The discussion clarifies key concepts related to interpreting graphs in physics, specifically position, velocity, and acceleration. In a position vs. time graph, the area under the curve represents displacement, while the slope indicates velocity. Conversely, in an acceleration vs. time graph, the area under the curve corresponds to the change in velocity over a time interval. It is established that while one can determine relative position using a velocity graph, absolute position requires prior knowledge of a specific position.

PREREQUISITES
  • Understanding of kinematic equations
  • Familiarity with graph interpretation in physics
  • Knowledge of calculus concepts such as area under a curve
  • Basic understanding of displacement, velocity, and acceleration
NEXT STEPS
  • Study the relationship between displacement and area under position vs. time graphs
  • Learn how to calculate velocity from acceleration vs. time graphs
  • Explore kinematic equations for motion analysis
  • Investigate the implications of initial conditions on determining absolute position
USEFUL FOR

Students in physics, educators teaching kinematics, and anyone interested in understanding motion analysis through graphical representations.

azn4lyf89
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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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