How to Find Velocity-Time Graph from Position-Time Graph?

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SUMMARY

To derive a velocity-time graph from a position-time graph, one must calculate the slope at various points along the curve. This involves determining the change in position (delta-y) over the change in time (delta-x) for each segment of the curve. While differentiation is a common method, it is not necessary for basic calculations. This approach allows for a straightforward understanding of velocity without complex calculus.

PREREQUISITES
  • Understanding of basic graph interpretation
  • Familiarity with the concepts of slope and rate of change
  • Knowledge of position-time relationships in physics
  • Basic skills in calculating differences (delta) in values
NEXT STEPS
  • Research methods for calculating slope on non-linear graphs
  • Explore graphical analysis techniques in physics
  • Learn about the relationship between position, velocity, and acceleration
  • Investigate numerical methods for estimating derivatives
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Students studying physics, educators teaching kinematics, and anyone interested in graph analysis and interpretation.

teetar
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Homework Statement


Not too necessary to follow this format, but here is my question: I know I probably shouldn't ask such a simple question, but how do I find a velocity-time graph from a position-time graph? I know it's just slope, but I'm looking at a curve, and I don't want to differentiate it. I also know that this is probably not as difficult as I'm making it, but I'm completely blanking on this one. Any help will be greatly appreciated. Thanks guys!

Homework Equations


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The Attempt at a Solution


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teetar said:

Homework Statement


Not too necessary to follow this format, but here is my question: I know I probably shouldn't ask such a simple question, but how do I find a velocity-time graph from a position-time graph? I know it's just slope, but I'm looking at a curve, and I don't want to differentiate it. I also know that this is probably not as difficult as I'm making it, but I'm completely blanking on this one. Any help will be greatly appreciated. Thanks guys!

Homework Equations


N/A

The Attempt at a Solution


N/A

You are right that it is the slope at each point, so just look at delta-y / delta-x at each point.
 

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