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[Mainerunr]

I get what you're saying mountaineer, it's all in the wording and the way you're wording it, you are correct.

yes, a plane could take off even if on a moving treadmill.

but no, a plane cannot take off from said treadmill IF the wheels are spinning at the same speed so as to cover the exact same distance as the treadmill (ie wheels spinning at 200mph, treadmill moving 200 mph opposite direction) because if that were the case then the plane would actually NOT be moving (meaning it would be generating only enough thrust to overcome the friction in the wheel bearings.

everyone is looking at the can it take off and yes, it can but given the conditions specified by Mountaineer, no, it cannot.