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Gulfstream IV jet ran off a runway while taking off
V2 is the pre-calculated weight-& atmosphere-adjusted velocity at which you should lift off (assuming your cowboy, seat of the pants technique of rotating and attitude control are well honed)...liftoff may not happen, but V2 does indeed happen...
Gabriel has already corrected you on V2, but while you can reach the speed that was V2 on the ground, it no longer has a purpose as V2 if you can't lift off and that is why in my scheme the bug would disappear after Vr+10 until the plane becomes airborne.
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