What does the area under a distance vs time graph represent?

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The area under a distance vs. time graph is related to the concept of absement, which has units of length multiplied by distance. Absement is a higher-order derivative that can provide insights into motion beyond basic displacement. Discussions also touch on the complexity of derivatives of position, including terms like jerk and crackle. Participants express confusion over the terminology and seek clarification on the relationship between area under the curve and these concepts. Overall, the conversation highlights the need for further exploration of these advanced motion metrics.
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What does the area under a distance vs time graph represent?

The units would be ms. Other than that, I have no idea. Thanks.
 
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I just found that there is a thing called Absement, which may very well be what I'm looking at. It's units are length x distance.
 
BlackWyvern said:
I just found that there is a thing called Absement, which may very well be what I'm looking at. It's units are length x distance.

Let us know what you find if anything. I was thinking of the same thing last night.

Casey
 
There's a small bit of an article on wikipedia that talks about high order derivatives of position (jerk, crackle, pop), and low order derivatives (high order integrals) (absement, absity,abserk).

Some applications of absement seem interesting.
 
Look at the chart of derivatives! It goes even farther than the -1th!

http://en.wikipedia.org/wiki/Derivatives_of_displacement#Absement_versus_presement

Edit: Holy Simultaneous Triple Reply Batman!
 
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Yeah, that's where I found the term, completely by accident as searching for 'area under displacement time curve' was generally finding the string "area under velocity time curve is displacement".

Still is a little confusing to me though.
 
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