can ps4 run games at 60 fps?

As someone who's been used to PC framerates of 60 fps or more, I've been reluctant to go console simply because of the typical 30 fps limitation. However, given the simple plug-and-play nature of consoles, I'm quite ready to take that step, but only if I can expect the new generation to put out 60p for most games. Once your eyes get used to 60fps, going back to 30 is rough.