How long are you asking about? Planes can fly pretty high. How long can you be in free fall from 100,000 feet?
I should have checked this earlier.
Free fall from 100,000 ft down to 10,000 ft (you would like to pull out I suppose) takes about 53 secs, but the velocity at the bottom is about 1,160 mph! That's mach 1.57! Of course the "vomit comet" would have to be going at 1,160 mph at 10,000 ft to start the zero-g manoeuvre!
I don't know of any large aircraft that can approach that performance.
Typical zero-g sessions only last about 30 secs!
Got any more wonderful ideas?