How do I calculate speed in a velocity-time graph? Displacement-time graph?

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SUMMARY

To calculate speed from a velocity-time graph (V(t) vs. t), one must recognize that the speed at any point corresponds to the value of the velocity at that specific time. In a displacement-time graph, speed is defined as the change in displacement divided by the change in time. This concept can be further refined by considering instantaneous speed, which is determined by examining the limit of the change in displacement as the time interval approaches zero.

PREREQUISITES
  • Understanding of basic kinematics concepts
  • Familiarity with graph interpretation
  • Knowledge of limits in calculus
  • Ability to differentiate between average speed and instantaneous speed
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  • Study the principles of kinematics in physics
  • Learn how to interpret velocity-time and displacement-time graphs
  • Explore the concept of instantaneous speed using calculus
  • Investigate the relationship between speed, velocity, and acceleration
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Students studying physics, educators teaching kinematics, and anyone seeking to understand the relationship between speed and graphical representations of motion.

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Homework Statement


How do I calculate speed in a velocity-time graph? And in a displacement-time graph?

Homework Equations


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The Attempt at a Solution


I'm quite at a lost at how to calculate these =S
Any help is appreciated.
 
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If your graph is V(t) vs. t then isn't the graph at any point the V at that particular t?

For displacement and time, what is the definition of speed? Change in displacement for a change in time? And if you examine an extremely small time change at a point then what is that?
 

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