Depends on the reason you're vegetarian. If it's for ethical reasons, then they probably would. If it's for health reasons, then probably not. If it's for environmental reasons, then it would depend on the environmental impact of in vitro meat.

Don't forget taste -- some vegetarians simply don't like the taste of meat.

As a vegetarian who remembers liking the taste of meat, I forgot that one. Thanks.

And some find it gross to eat animal flesh.

Those poor nuts and fruit, with all their flesh being eaten :( eat a cow today to save them!

It depends on their reason for being vegetarian. Some think meat is unethical, those probably could. Others think it's healthier not to eat meat, those would probably pass. A friend of mine is allergic to most animal proteins - she probably won't want to eat that stuff either.

That's kind of a facile question -- it obviously depends on the reason why they're vegetarian.

I've had this discussion with a few vego's. My wife doesn't eat meat because she doesn't like animal suffering or confinement, so she would happily eat lab-grown meat. Yet her sister is disgusted by the texture/taste of meat on top of the suffering/confinement aspect, so the lab-grown meat only removes half of her aversion.

Ultimately comes down to the individual's motive for being a vegetarian, which varies.

I believe that under a strict definition of vegetarianism - a person who abstains from eating meat - the answer would be no. If they did they would not be vegetarian. Maybe another classification would need to be created for those who will only eat cultured meat.

using fetal bovine serum?