These are all normal cat behaviors, whether they're seen during play or are part of an actual predatory sequence. (nevadahumanesociety.org)
Tossing a single piece of food onto a hard surfaced floor stimulates the full predatory sequence of chase, pounce, kill, and eat. (carrollcountytimes.com)
I don't want my dogs ripping up my couch of course, but I do want them to be able to rip apart toys, boxes, paper, to satisfy that predatory desire (read about the predatory sequence and predatory behavior here). (amatterofmannersdogtraining.com)