Does this girl like me?

Me and this girl met through a mutual friend about 2 weeks ago and I really like her. I'm just not sure if she likes me back and don't want to ask her and make her feel uncomfortable and not want to talk to me anymore if she doesn't feel the same. We have been hanging out almost every day since (usually not alone, but with friends). She does show signs of flirting, some intentional like light punches on the arm, when I bump her she bumps me back and such. We watched a movie yesterday and she seemed to stay up against me the entire time but I'm not sure if it was because it was a small twin bed or not. She also makes a lot of eye contact with me but I think she does for everyone she is talking to, and she does seem to show concern if I am feeling down. Overall I really like her, but don't want to scare her away if she doesn't feel the same. What would be the best way to tell her or ask her apart from using other people? And do you think I have a good shot in general? Thanks for the help in advance and all responses will be greatly appreciated.

Update: I told her how I felt and she left a very vague answer because it was pretty out of the blue, so I gave her time to think about it and will give another update once something happens