Allright,
when an airplane's engine flames out for whatever reason and continues the take-off, after rotation, passing through 35feet the speed at that moment is called V2 or takeoffsafety speed.
So if you use standard practices as far as rotation etc is concerned you will reach V2 right after rotation. at least the certificated V2 speed. So going below V2 is basically only possible to do when you use practices that are non standard and not approved.
Offcourse there is such a thing a an "optimized V2" which is approx 1.5Vs as opposed to the normal certificated V2 which is 1.2Vs
Remember V2 doesn't have anything to do with the speeds Vx and Vy