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 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.

There are no names for higher powers of derivatives of displacement.