I think it has to do with felines having better reflexes than most animals. Their light weight, skeleton and agile quickness in everything, makes then turn around faster than, a dog let's say.
When an animal or a person is falling from a certain height, they tend to be in a state of shock or awe during a very short amount of time, specially if they're falling facing up. So felines can "wake up" out of that state and take action from it.
Lions are the felines who have less agility to land of their feet though.