This is about the same species as in e.g. How can humans coexist with an intelligent carnivorous species?
The culture of this intelligent, carnivorous, primarily quadruped species, in a sense despite the species' intelligence, is one that also favors physical prowess. That prowess includes, but is absolutely not limited to, both endurance and physical strength. One of the ways they measure themselves against one another is in ritualized games, not entirely unlike an ironman triathlon but including physical grappling matches as well as tests of endurance. These games are primarily to establish social standing but also to show off mating fitness.
A common part of the grappling contests is to attempt to throw your opponent; this would be measured (I hesitate to say "judged" as it's not guaranteed that there would be a referee) both on how well (including how far) one is able to throw their opponent as well as how well the opponent recovers (landing on feet vs back? getting back up quickly vs remaining on the ground? etc).
I have yet to decide on the exact rules, but to the extent that they may have bearing on answers, some general ones would be:
- Both competitors are allowed to move about freely without artificial limits. That said, constantly running away from one's opponent is unlikely to be seen as a great display of physical prowess, especially considering that the grappling match isn't primarily a test of endurance.
- Either competitor can choose freely at any time whether to attempt to grapple or try to avoid their opponent, and are free to take advantage of their opponent's actions in doing so.
- Rough tactics are allowed, but not those that would cause permanent injuries (this is, after all, a ritual, as opposed to an actual fight, and it is among carnivores). So you might very well see one competitor grappling and throwing or pinning their opponent to the ground, but not clawing at their opponent's face.
- Realistically, what would be required in terms of physical ability for a reasonably large (big cat size) mammal to lob another of their kind a significant distance (to have a ballpark figure to work with, let's say more than three body lengths' worth) through the air?
- As a bonus question, what particular evolutionary (not technique) adaptations are likely to allow an individual to take such a treatment better or worse than another? In other words, if these competitions were somehow the sole selection criteria in mating, which traits would be selected for or against?