This is really interesting. I do trampoline gymnastics myself and I'm actually doing a physics project on it lol

@Science at Sheffield: In the competition clips she does double forward somersault with a 1½ spin on the second rotation. How, considering conservation of momentum, can she start the 1½ spin mid-air? Gymnast myself, and I can do it too, less elegant, so I can tell you how I'd do it, but I haven't found the physics explanation for why that should work :P

I get so dizzy doing this, bravo to her.

I feel like your missing the most important aspect of what makes a trampoline work. Much like a swing in a tree it works because you are adding energy at its resonate frequency. If you stand still I bet your first jump will never be higher than on the ground. You need to pump your legs or jump at resonate frequency a few times to get any higher. Now try to get higher by jumping at a different rhythm. You will never go very high.

And how does she stop so suddenly at the end?