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

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To draw a distance-time graph from a velocity-time graph, one must calculate the area under the velocity curve, as this area represents the distance traveled over time. The process involves integrating the velocity values over the time intervals to find the corresponding distances. The resulting distance-time graph will have a slope that reflects the velocity at any given point. Understanding this relationship is crucial for accurately converting between these two types of graphs. Mastering these concepts enhances comprehension of motion analysis in physics.
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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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