Displacement

Displacement is the amount of change in position.

For example, if your start point is (3,4) and you end at (3,6), your displacement is 2 units up.

Derivatives and Integrals of Displacement

The zeroeth derivative of displacement is itself, displacement.

The first derivative of displacement is velocity.

The second derivative of displacement is acceleration.

The third, fourth, fifth, sixth, seventh, and eighth derivatives, though less commonly used, are coined, jerk, snap, crackle, pop, lock, and drop respectively.

The first, second, third, fourth, and fifth integrals of displacement are absement, absity, abseleration, abserk, and absounce respectively.

There are no names for higher derivatives or integrals of displacement.