TheDarkPassenger :
Will my graphics card handle it? Will it get too hot?
It will get as hot as your card ever gets at 100% load, though perhaps more frequently. Run a stress test with no framerate cap, and you will see how hot your video card gets at a sustained 100% workload. Provided that temperature is safe, though, there's no reason to be concerned.
Your video card will run hotter in games that your 770 is capable of running faster than your current Vsync cap, because it will be reaching 100% load more often. 100 FPS (@ 100% load) is going to generate more heat than 60 FPS (@ 50% load, or whatever it is).
Games where you are currently barely running at 60 FPS will not be any hotter than they ever were, because you'll still be at 60 FPS. Your card was already running that game as fast as it could, so having a higher framerate ceiling won't make a difference.