Definition of "Rotation Speed" vs "Lift Off Speed" vs "Fly Off Speed" Is rotation speed and lift-off speed ever used interchangeably? (AMENDED Question) Is lift off speed and fly off speed the same? (See supplemental info below)

I thought I clearly understood the difference between these two terms: 


Rotation is the point at which the longitudinal axis of the aircraft is "rotated" about its lateral axis from a horizontal orientation in order to increase the angle of attack of the wing.
Lift-off is the moment when the aircraft is no longer in contact with the surface (i.e. ground or water). 


However, I was reading something the other day where the two terms appeared to be used interchangeably, which I accepted at first, but now its bothering me. It was a POH and it said that for normal take-off rotate at 70-75 KIAS. However, the POH also says that the "Normal takeoff distance in Section 5 is based on lift off at 65 KIAS." 

Found it, here is the text:



So to get the Normal takeoff performance, you can't use normal takeoff procedure?

By the way, after further reading of the POH, I don't think the "lift off at 65 KIAS" is a typo. See the maximum performance takeoff which says to rotate ASAP and "fly off" at 61 KIAS the single engine stall speed of the aircraft. (See Copy Below).

I think they were just hard-core back then. So this raises another terminology question "fly off" speed. So we have rotation speed, lift off speed, and fly off speed. My interpretation is that for max performance takeoff rotate ASAP, if airplane flies below 61 KIAS, then keep it in ground effect until 61 KIAS, then fly off.
Your original understanding is correct.  Rotation speed and liftoff speed are two different things, the former being the speed you are to make an input, and the latter the speed at which you get a result (weight off wheels).  

That's almost certainly a typo and is supposed to say 75kts (my guess), which would be the demonstrated maximum distance to weight-off-wheels with rotation initiated late in the 70-75 kt range. Manuals published as integrated handbooks like that tend to never get revised unless a new edition is published, and the Cougar was only in production for a couple of years making a little over 100 aircraft, so I'd be surprised if there is a newer edition than the 1978 one, especially if it involved publishing a new handbook over a minor typo on an out of production airplane.

On a light aircraft the input and result are just about instantaneous and a rotation initiated at 75kt will result in a liftoff pretty much at 75kt or maybe a knot or two higher.  On high performance aircraft rotation speed and actual liftoff may be 1 or 2 seconds apart and it's more obvious that they are different things.