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26 January 2014 @ 12:17 pm
Thing that I learned yesterday (one among many, but this is the most memorable):  
The first derivative of distance related to time (change in distance over time) (dx/dt) is velocity.

The second derivative (change in velocity over time) (d2x/dt2) is acceleration.

The third derivative (change in acceleration over time) (d3x/dt3) is jerk.

I knew all of those.

The fourth derivative is jounce.

The fifth, sixth, and seventh derivatives are snap, crackle, and pop.

This makes me very happy.
Janet Miles, CAP-OMjanetmiles on January 26th, 2014 09:53 pm (UTC)
I don't know if there are practical applications, either, but it pleases me that the names exist. Oh, wait, I think he said jounce is used in rocketry, something to do with directional boosts.

I don't have the equations you're looking for, and I'm no longer sure how I'd go about deriving them. It's been too long since I took differential equations.
The Renaissance Manunixronin on January 27th, 2014 12:34 am (UTC)
Velocity and acceleration are easy of course, and jerk is a pretty simple concept. I'm not sure I can come up with a practically usable understanding of jounce, let alone the remaining three.