Arcs

The object hits the target like a ball hitting the floor and rebounds with smaller hops until it rests; differs from Elastic by a hard stop at each contact.

This is for a motion graphics video. End the move in [scene] with a "Bounce" (also called a bounce ease or bounce out): the object hits its target like a ball hitting the floor and rebounds in smaller and smaller hops until it rests.
It should never pass through the target — each contact is a hard stop that turns it straight back, unlike an elastic ease, which swings past the target on both sides.
Fit the move and its hops into [duration], and make each hop clearly shorter than the one before.

The motion repeats from the start; in a seamless loop the end state matches the start so no restart is visible.

This is for a motion graphics video. Repeat the motion in [scene] as a "Cycle Loop" (also called a loop or repeat): each time it reaches the end, it starts again from the beginning.
It should jump back to the start rather than play backwards, which would be a ping-pong loop. For a seamless loop, make the last frame match the first so the restart cannot be seen.
Keep it looping for [duration]; if each repeat should carry on from where the last one ended instead of returning to the start, make it an offset loop.

Starts slowly and accelerates toward the end, so the object leaves at full speed; opposite of Ease Out.

This is for a motion graphics video. Animate the move in [scene] with an "Ease In" (also called slow in, or accelerating): it starts slowly and keeps speeding up, so the object is at full speed when the move ends.
Do not soften the end — that is an ease out, the opposite curve, which starts fast and settles gently.
Fit the move into [duration]; it suits an object leaving the frame, since it is never seen stopping.