Thing that I learned yesterday (one among many, but this is the most memorable):

[janetmiles]

The first derivative of distance related to time (change in distance over time) (dx/dt) is velocity

Comments

[browngirl]

*smiling, takes notes*

[kengr]

I have trouble seeing situations where those would be relevant (or measurable).

Well, not jerk, but...

Don't sup[pose you have the formulas for distance versus time for each of them. I have the one for jerk somewhere. Without checking my notes, I think it's

d = 1/6 * jerk * t^3

[janetmiles]

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.

[unixronin]

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.

[unixronin]

I don't think you can just go from jerk and time directly to distance. You'd have to integrate under the curve.

[tomtac]

Thanks for posting this. Just this past weekend, I was throwing together a simulation of the first three, but accidentally put in a fourth and now have a simulation of jerk-acc-vel and position

[janetmiles]

Thank you! That's very cool.