How to do velocity-time graph to distance graph/acceleration to velocity graph?

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SUMMARY

This discussion focuses on converting velocity-time graphs to distance-time graphs and vice versa, emphasizing the importance of understanding the area under the curves. The area under a velocity-time graph represents the distance traveled during a specific time interval, while the area under an acceleration-time graph indicates the velocity. For linear graphs, the calculations are straightforward, but the discussion highlights the need for clarity in these conversions.

PREREQUISITES
  • Understanding of basic graphing concepts
  • Familiarity with velocity and acceleration definitions
  • Knowledge of the relationship between area under a curve and physical quantities
  • Ability to interpret linear and non-linear graphs
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  • Study the concept of area under the curve in physics
  • Learn how to calculate distance from velocity-time graphs
  • Explore methods for converting acceleration-time graphs to velocity-time graphs
  • Practice drawing and interpreting various types of motion graphs
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Students studying physics, educators teaching motion concepts, and anyone interested in understanding graphing techniques related to velocity and acceleration.

sweetiev
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So I understand how to draw velocity-time graph "from" distance graph and acceleration-time graph "from" velocity-time (basically the slope)

But I don't understand how to draw distance-time from velocity-time graph and velocity-time graph from distance-time graph.Please help! how would I do that?
 
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Distance traveled in a particular time interval is the area under the velocity-time graph between those two times.
If the graph is a straight line (uniform or zero acceleration) then it's a simple matter.
Velocity is the area under the acceleration-time graph.
 

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