1st derivative: speed
2nd: acceleration
3rd: jerk
4th: snap/jonce 
5th: crackle
6th: pop

Not kidding. https://en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth_derivatives_of_position

Blogger at ribbonfarm.com, running summerofprotocols.com, host of /gloom ☀️

Really curious to know more applications of snap crackle and pop, I feel I’ve seen up to jerk in practice in dynamics but beyond that not as frequently

creating and destroying; built flying cars & autonomous vehicles, now building /faust, more here: /july, web: july.rocks

Rarely do we use anything past jerk because human minds don’t really handle more than 3 levels of recursion well.

i agree with you that human minds don’t really handle more than 3 levels of recursion well - though just because they don't handle complexity well, doesn't mean that we can't use wield complex models we can't imagine for applied use cases

for example: handling higher order dimensions in linear algebra applied to CS