But why stop at acceleration?
The rate of change of 'distance' is 'velocity'.
The rate of change of 'velocity' is 'acceleration'.
But what do you call the rate of change of acceleration, or the rate of change of the rate of change of acceleration or.... you get the point.
Believe it or not.. there actually are terms for these but apparently they're not all that widely accepted. Once again to the rescue wikipedia-
The rate of change of 'acceleration' is 'jerk' ...or possibly 'jolt' or 'surge' or 'lurch'
The rate of change of 'jerk' is 'snap'.. or possibly 'jounce'.
The rate of change of 'snap' is 'crackle'
The rate of change of 'crackle' is 'pop'
And since nobody else has claimed it i now official stake my claim to name the next kinematic derivative thus:
The rate of change of 'pop' is 'whoa!'
"I'm sorry officer- was it my acceleration, my jerk or my snap, crackle, pop or whoa!?"