Don't you hate it how the coyote always remains suspended in midair until he looks down? It's just SO misleading.
Baby, lets be like a 2nd order system with a zeta of zero. None decaying "oscillations" all night long.
If I move my lips half the distance to yours...and then half again..and again...etc. Would they ever meet? No? Well in this specific case I am going to disprove your assumption.