Excitedly biting water bottle

Hi! I have a 2 and a half year old bunny that I rescued when someone apparently decided to dump her off in my lawn. I don't know who did that or why (except that she does seem to get an upset tummy really easily). I wish I knew so I could smack them around and also ask them questions. I've never had a rabbit before so I've been learning all that I can from the House Rabbit Society near me and from websites like this one!

I seriously have so so so so many questions.Ugh.

But this one is pretty weird! She has a dish of fresh, clean water and she drinks from it happily. But anytime I have a bottle of water (for me) near me she goes nuts! She starts biting at it like she wants to take it from me. I wondered if she maybe had a bottle in her cage at the old place, but she doesn't really seem to care about the top of the bottle/nozzle. She just wants to bite the side of it and she goes crazy on it.

Any idea what that might be about? Is she playing? Does she think the water bottle is a banana? I'm so curious!

My rabbit does the same thing, I’m pretty sure it’s just for entertainment purposes. I give her an empty clean water bottle and she likes throwing it all over the place.