How Do Pt Graphs Convert to Vt Graphs in Physics?

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SUMMARY

This discussion focuses on the conversion of position-time (p vs. t) graphs to velocity-time (v vs. t) graphs in physics. The participants confirm that the velocity graph is derived from the slope of the position graph, establishing a direct relationship between the two. The correct matches identified are B : C, D : B, C : A, and A : D, indicating a clear understanding of the conversion process. This confirms that the participants successfully grasped the concept of translating p vs. t graphs into v vs. t graphs.

PREREQUISITES
  • Understanding of position-time (p vs. t) graphs
  • Knowledge of velocity-time (v vs. t) graphs
  • Familiarity with the concept of slope in graphing
  • Basic principles of kinematics in physics
NEXT STEPS
  • Study the mathematical relationship between slope and velocity in kinematics
  • Learn how to interpret and analyze p vs. t and v vs. t graphs
  • Explore examples of real-world applications of position and velocity graphs
  • Review the concepts of acceleration and its graphical representation
USEFUL FOR

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

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Homework Statement


Then identify which of the v vs. t graphs match p vs. t graph
http://eport2.cgc.maricopa.edu/published/w/ea/weaver/survey/172/1/image.30092.jpg

Homework Equations



I'm still a bit confused on if I have successfully grasped the conversion of pt graphs to vt graphs

The Attempt at a Solution



B : C
D : B
C : A
A : D
 
Last edited by a moderator:
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Looks OK. The v vs t plot is a point-by-point graph of the slope of the p vs t plot. You seem to have found the correct matches.
 

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