How Do You Convert a Velocity-Time Graph to a Position-Time Graph?

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SUMMARY

The discussion focuses on converting a velocity-time (v-t) graph to a position-time (p-t) graph by analyzing the area under the v-t graph. The area represents the displacement, which is crucial for calculating the greatest distance from the origin. Participants emphasize understanding the relationship between velocity, time, and distance to effectively interpret the graph. Key concepts include the significance of the area under the curve and how it translates to position over time.

PREREQUISITES
  • Understanding of basic calculus concepts, specifically integration.
  • Familiarity with kinematic equations in physics.
  • Knowledge of graph interpretation, particularly velocity-time graphs.
  • Basic understanding of displacement and distance in physics.
NEXT STEPS
  • Study the principles of integration to calculate areas under curves.
  • Learn how to derive position-time equations from velocity-time graphs.
  • Explore kinematic equations and their applications in motion analysis.
  • Practice converting various v-t graphs to p-t graphs using real-world examples.
USEFUL FOR

Students studying physics, educators teaching motion concepts, and anyone interested in graph analysis related to kinematics.

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Homework Statement


Can anyone tell me how to calculate the greatest distance from the origin given a v-t graph?



Homework Equations


i don't know.


The Attempt at a Solution


no idea.
 
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1irishman said:

Homework Statement


Can anyone tell me how to calculate the greatest distance from the origin given a v-t graph?



Homework Equations


i don't know.


The Attempt at a Solution


no idea.
What is distance in terms of v and t? What does the area under the v-t graph represent?

AM
 

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