Converting acceleration to velocity to displacement graph

AI Thread Summary
To convert an acceleration vs. time graph to a velocity vs. time graph, one must calculate the area under the acceleration curve, which represents the change in velocity over time. This area can be positive or negative, depending on whether it is above or below the time axis. Subsequently, to derive a displacement vs. time graph from the velocity vs. time graph, the same area concept applies, where the area under the velocity curve indicates the displacement. The discussion emphasizes that this process does not require the use of integrals but relies on understanding the relationship between area and graphing. Overall, calculating areas under the curves is crucial for transitioning between these types of graphs.
captainsmith1
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Homework Statement


the task is to explain how to find the velocity vs time graph from an acceleration vs time graph and how to find a displacement vs time graph from the resulting velocity vs time graph, without using an intergral.


Homework Equations





The Attempt at a Solution


i know that area must be used, and how to find the area, but i don't know how that is supposed to produce a graph
 
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Welcome to PF!

Hi captainsmith1! Welcome to PF! :wink:
captainsmith1 said:
the task is to explain how to find the velocity vs time graph from an acceleration vs time graph and how to find a displacement vs time graph from the resulting velocity vs time graph, without using an intergral.
…
i know that area must be used, and how to find the area, but i don't know how that is supposed to produce a graph

Easy-peasy …

the integral of a function equals the area between the curve of the function and the horizontal axis (and areas below count as negative) …

so just work out how the area depends on time, and then do a rough graph. :smile:
 
sorry this is over a month late but thanks alot!
 

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