2000 chess.com rapid rating is a lot easier than 2000 FIDE, but for most people at least a few years... of course you can play for 50 years and never be above 1500, it just depends on the work you do.
Playing is not enough, you have to study chess too. Openings, endgames, strategy, tactics, and analyze your games.
Going to OTB tournaments is one of the good things you can do to improve, so yes go to a tournament! Your rating is fine, in some tournaments you can even find beginners playing.
As they told, give study an appropriate time. Yes join a tournament as it will also help you improve.
A guy told me you can't get a girlfriend if you don't ask any girls out.
Mmm...So my theory that chess players did not know about the existence of girls is now disproved...
I find these questions rather insulting. They make improving out to be easier than it is, and kind of make a mockery out of those that are still fighting the good fight at 1400-1800.
If you're in high school, then probably between 2 and 10 years to get to 2000 FIDE.
It took me about 12.5 years to reach 2000 USCF. Nearly 8 years after that, I'm within striking distance of 2200 USCF (currently 2137). I'm about 1960 FIDE but I don't get to play FIDE-rated events very often.
Other posters have mentioned this, but if it's really THAT important to you, you can keep improving and eventually get there. Don't give up -- develop one or two weapons that can win you games (e.g. opening prep, attacking skills, endgame technique, great calculation, etc.), and keep tackling your biggest areas of weakness.
This is my 20th year of tournament chess, and I'm on my highest rating ever, preparing seriously for my next tournaments. Don't ever let anyone tell you that you can't do it.
I think if you took the time to study the games you lose in your future tournaments you'd learn a lot regardless of what your rating is.
A guy told me you can't get a girlfriend if you don't ask any girls out.
Well, you can't get really good at chess I think if you don't at least try and take part in some tournaments. You probably can, but I think it's helpful if you go to tournaments and put in the time to study your games in the skittles room after the games. I wish I could do that, but I can't. It all depends on how important chess is to you. Of course when you have a job and have to worry about things on top of that, chess can easily be shoved asside every single day. The thing to do is learn to figure out what you want out of chess and go for it, and do not waiver, go the whole way. Do not quit. Quitting should only occur when chess becomes a problem. You will know it when it happens.
I spoke to a guy who is like incharge of tournments as well as welcoming newbies that come to the chess club and giving them important information. He said don't "wait until you get better," as my friend once told me, "Don't wait till you lose that weight before you start hitting on women again", rather, just go as you are, and make the most out of it by analyzing what you did wrong after the fact and learning from it. Even if you lose all your games, I still believe there is a lot to learn. Whenever I play one of the masters at my chess club I know I am not going to win, but I play anyways, simply because I know I will learn something from it.
Just my opinion, but I think I am not alone when I say that losing can also be a good learning experience. I would start keeping a chess journal if I where you, along with a personal opening book. That personal opening book would contain games where you lost in the opening, common things that you do that outright lose the game, etc, and review them weekly so you don't repeat your mistakes. Relying on your memory is okay, but the strongest memory is weaker than the faintest ink.