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

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SUMMARY

The area under a distance vs. time graph represents the concept of Absement, which is defined as the product of length and distance. This term is associated with higher-order derivatives of position, including jerk, crackle, and pop, as well as lower-order integrals like absement and absity. The discussion highlights the confusion surrounding the interpretation of these concepts, particularly in relation to displacement and velocity time curves. Resources such as Wikipedia and specific examples from wearcam.org provide further insights into these advanced topics.

PREREQUISITES
  • Understanding of basic calculus concepts, particularly derivatives and integrals.
  • Familiarity with the terms displacement, velocity, and acceleration.
  • Knowledge of high-order derivatives in physics, including jerk and crackle.
  • Basic comprehension of graph interpretation in physics.
NEXT STEPS
  • Research the concept of Absement and its applications in physics.
  • Explore the Wikipedia article on derivatives of displacement for a deeper understanding.
  • Investigate the implications of high-order derivatives such as jerk, crackle, and pop.
  • Learn about the area under various types of curves in physics and their significance.
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Students and professionals in physics, mathematics, and engineering who are interested in advanced concepts of motion and graph analysis, particularly those exploring the implications of higher-order derivatives.

BlackWyvern
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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!
 
Last edited by a moderator:
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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