Finding average velocity from a velocity-time graph

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SUMMARY

The average velocity can be determined from a velocity-time graph by calculating the area under the graph, which represents total displacement. In this case, the data points provided are V/t values, specifically 3/0, 3/2, 2/2, 2/3, 1/3, 1/4, and 0/4. The total displacement is found by integrating the area under the curve, and the average velocity is then calculated by dividing this displacement by the total time. This method is essential for accurately interpreting velocity-time graphs in physics.

PREREQUISITES
  • Understanding of velocity-time graphs
  • Knowledge of calculating area under a curve
  • Familiarity with basic kinematic equations
  • Ability to perform integration for displacement calculation
NEXT STEPS
  • Learn how to calculate area under a curve using integration techniques
  • Study kinematic equations for motion analysis
  • Explore the relationship between displacement and average velocity
  • Practice interpreting various types of motion graphs
USEFUL FOR

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

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Homework Statement


Find the average velocity from the velocity-time graph:
V / t
3 / 0
3 / 2
2 / 2
2 / 3
1 / 3
1 / 4
0 / 4

Homework Equations





The Attempt at a Solution


Im not sure if i can find the average velocity from this graph or if i have to make a position-time graph??
 
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Draw velocity-time graph and find the area of the graph.
That gives you the total displacement. Total time known. From that find the average velocity.
 

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