When Steve Coogan was on the rollercoaster, it clearly showed him throw up four or five times. It also clearly showed him throwing up into a paper bag.
The only problem was, when he wasn't being sick he didn't have the bag in his hands or anywhere. It was a bit difficult to see because the camera was wobbling everywhere, but I'm pretty certain that he only had the bag when he was being sick.
And that ain't magic!!