Re: Acceleration's higher orders

On 3/8/2024 1:21 AM, Ross Finlayson wrote:

  One thing I've been trying to figure out is
"the infinite higher-orders of acceleration".
 This is where for example that classically
there's that "rest is rest and motion is motion",
and it's that v is dp/dt, rest 0 and motion non-zero,
it's meters/second, and in seconds/meter, it's
that motion is non-zero and rest is infinity.
 So I'm wondering about v', v'', v''', that being
acceleration and its higher orders, out to v^prime-infty,
that at an instant, help figure this out.
 

For what it's worth, some higher derivatives have (somewhat whimsical) names. The derivative of acceleration with respect to time is called jerk, the derivative of jerk is called snap or jounce, the derivative of snap is crackle, the derivative of crackle is pop. Someone was a breakfast cereal fan. The highest derivative I know of that's actually used is snap, when designing the transition of roads or railroads from straight to a curve they try to minimize the 'snap' of a vehicle following the transition segment.