The thing is that the phone 2 does not record at 60fps, it records the videos in the NTSC standard framerate, which varies a little. You need to to speed up the video a little to get the exact 60fps.
Speed up the video using this formula:
<Desired framerate>/<actual framerate>
You can find the actual framerate of the video using vlc. This will fix the video stutter without speeding it up too much.