How to draw distance-time graph from velocity-time graph?

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SUMMARY

To draw a distance-time graph from a velocity-time graph, one must calculate the area under the velocity-time curve. This area represents the distance traveled over a specific time interval. The relationship is defined by the equation distance = velocity x time. Understanding this concept is crucial for accurately transitioning between these two types of graphs.

PREREQUISITES
  • Understanding of velocity-time graphs
  • Knowledge of area calculation under curves
  • Familiarity with basic calculus concepts, specifically integrals
  • Ability to interpret graphical data
NEXT STEPS
  • Study the concept of integrals in calculus
  • Learn how to calculate areas under curves using definite integrals
  • Explore graphical representations of motion in physics
  • Review examples of converting between different types of motion graphs
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Students in physics, educators teaching motion concepts, and anyone interested in understanding the relationship between distance and velocity in graphical form.

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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sweetiev said:
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

Instead of taking the slope, you add up the area enclosed under the graph so far.

http://en.wikipedia.org/wiki/Derivative
http://en.wikipedia.org/wiki/Integral
 
see, distance=velocity x time so once you plot the velocity-time graph... check out the area under the gradient and plot the same on another distance time graph in which the gradient is equal to the velocity...
 

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