Distance Velocity Graph: What Does the Area Represent?

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SUMMARY

The discussion centers on the interpretation of a distance versus velocity graph, specifically questioning what the area under the curve represents. Participants clarify that the area does not represent time, as initially suggested, but rather the relationship between distance and velocity. The conversation emphasizes the need for context regarding the specific quantities being graphed to accurately determine their relationship. Further, it highlights the importance of providing a visual representation of the graph for better analysis.

PREREQUISITES
  • Understanding of basic physics concepts, particularly kinematics.
  • Familiarity with graph interpretation in physics.
  • Knowledge of the relationship between distance, velocity, and acceleration.
  • Ability to analyze graphical data representations.
NEXT STEPS
  • Research the principles of kinematics and how they apply to distance-velocity graphs.
  • Learn about the significance of area under curves in physics, particularly in relation to velocity and time.
  • Explore graphical analysis techniques for interpreting various types of motion graphs.
  • Study the relationship between acceleration, velocity, and distance in different motion scenarios.
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding the graphical representation of motion and its implications.

Balti
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Summary: Gradient = Acceleration(?)
Area = Time (?)

Good evening,

I have a problem that presents itself in a distance (y) velocity (x) graph. I've never come across this, and in my Physics textbook, the section dedicated to graphs does not have it.

My question is, what does the area of the graph represent? Time?
 
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Welcome to the PF. :smile:

Please attach the figure to a reply. Since this is a schoolwork question, I will move this thread to the schoolwork forums for you. Thanks.
 
In addition to attaching a figure, perhaps you could tell us something about the situation being modeled. What is happening? What distance is being graphed? What velocity is being graphed?

There's no way we can tell you how two random quantities are related without knowing what those quantities are.
 
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