The plane would most certainly take off.
What are we not getting here?
If the plane was in a
wind tunnel, then it would not take off, but since it is on the ground, and the wheels aren't powered, it will.Thats for the same reason that a car can drive into a stiff wind, because while the wind is pressing against the car with force, its not enough to overcome the power of the wheels.
Think of a toy car on a treadmill, the treadmill could be going 100mph, and if you were holding the car on the treadmill, the wheels would be spinnng at that speed, but the car would be still. Now imagine that you pushed the car foward on the treadmill at 5mph. The body of the car would be moving foward at 5mph, and the wheels would be moving at 105mph. The planes engines would be like your hand, not efected by the treadmill because it's not touching the treadmill.
If that didn't help you visualize it, I'm sorry, that was the best I could do and I tried
