NW1, Mutt, etc,
This post illustrates perfectly why not to ask technical questions on this type of forum.
Granted you have made some accurate observations but some of this is utter drivel:
Let's say in your example of V1 being 160kts but the a/c weight and conditions on the day give Vr=130 (say). You might be able to stop from 160kts on the runway, but since 160kts > Vr you would be well established in the climb and you would probably not be able to re-land and then brake inside of the TORA (theoretical, of course, because such a manoeuvre would be, er, dramatic to say the leaast - but it demonstrates why V1 is limited by Vr?).
This is rubbish and only some of it.
Vr is 1.3 VS, Simple as that.
V1 is a function of the accelerate stop capability of the aircraft on the day.
Vmcg is the ability to control the aircraft on the ground using solely aerodynamic means. Very important on the boeing 75/76 type. Vmca is not a factor on most Boeings.
Please for accurate gen' please read the books not Pprune
