Why take such a difficult approach to an easy awnser....?
if you take the lift formula there are (if we assume weight is constant, we do because its the flight parameter wich are important)
You can see lift is proportionate to V(square), or better proportionate to the amounth of air flowing over your wing.
then if the portion of air is slow we need to create more lift out of the same 'parcel' of air (less air in same time)then when need to do when there is more air (faster) flowing in same 'parcel' (same time). therefore we need more lift enhancing facility's and milking it (more deflection of air) means more drag. but the drag was not the question.
so during T/O the lift generated out of the same volume of air is greatest.
fire away
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