The fifth derivative of position

Crackle.

Some physicists had a bit of fun when they started naming the further derivatives of position but let’s start with the beginning:

Position is where you are.

The first derivation, velocity, is how much your position changes per time unit. The SI unit is ms⁻¹.

The second derivation, acceleration, is how much your velocity changes per time unit. The SI unit is ms⁻².

The third derivation, jerk, is how much your acceleration changes per time unit. The SI unit is ms⁻³.

The fourth derivation, snap (or jounce but that doesn’t lead up to the joke), is how much your jerk changes per time unit. The SI unit is ms⁻⁴.

The fifth derivation, crackle (or flounce), is how much your snap changes per time unit. The SI unit is ms⁻⁵.

The sixth derivation, pop (or pounce), is how much your crackle changes per time unit. The SI unit is ms⁻⁶.

So, with a constant pop this is your position vector:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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