The next derivatives in the sequence of position, velocity, acceleration, and jerk are amusingly named “snap, crackle, and pop”, respectively.

Interestingly, they keep getting into "smaller" sounds. Snaps are kind of long-ish, potentially. Something can slowly snap (jerk primed) in two, it's not "as instantaneous a sound" as the two others. Compare to the pops (third) that are part of any crackle (second) you might hear. I always find it a little extra clever that they're ordered "like derivatives".

Snap, Crackle, and Pop were three cartoon mascots of Rice Krispies cereal. (Mentioning only because non-US or "other generation" people might not get the reference.)

https://en.wikipedia.org/wiki/Snap,_Crackle_and_Pop

I always wondered if these were all movements through different higher physical dimensions.

I wonder if anyone has studied that.

Big-engined high performance sportsbikes really demonstrate this well. Rolling on the throttle in a high gear at a lowish speed results in a ride up the torque curve; the effect is the faster you get the harder the acceleration becomes. It's an exciting demonstration of positive-feedback.

Even not so large bikes, like say 600cc.

I did some calculations once to relate sportbike performance to cars. People usually think about performance in terms of peak power on paper, which is not where you are most of the time on the street.

I estimated that if you are riding a 600cc bike at roughly car-like rpms, then the power to weight ratio is comparable to a car with a 3.5L V-6. But if you are using the upper range, then it's more comparable to a Ferrari.

With a literbike, if you are at car-like rpms, the power to weight is like a street car with a fairly large V-8, but if you are using it at high speeds, then it's comparable to a F1 car.