Should be fine. Cats can in theory survive being thrown out of a plane. It's all about terminal velocity... QI taught me this.
How does this help a cat falling from high stories? One important physical attribute that domestic cats have is that they are light. A domestic cat at terminal velocity during a free fall is considerably less heavy than a man. In addition, when a cat falls from higher levels it would have more time to complete re-orientation from the righting reflex in preparation to land, than if it fell from a lower level. After it has re-oriented itself and if it had the opportunity to reach free falling at terminal velocity, it will also start to splay its legs, adding to the drag which helps to slow it down. During free fall, it would also start to relax, which causes them to suffer less injuries than if they experienced impact with tensed muscles (think about keeping your knees and legs rigidly straight and falling from a distance).
http://www.pets.ca/cats/articles/cat-jumps-off-building/