This is highly controversial debate that's still raging I think. And I've edited some details to make it clear of the scenario. It is reflected in bold text

The question is that can a plane take off on a conveyor belt moving at the same speed in opposite direction?

In simple form - Can a plane take off while being stationary? Having it's forward rolling momentum elliminated?

Both camp of yes and no are split quite evenly.

The 'Yes' camp argued that :

- Plane do not use wheels to fly, so it can lift off even if the ground is moving away at the opposite direction at the same speed.

The 'No' camp argued that :

- If the plane remained stationary, it wouldn't have forward momentum for air to slice through to the wing to generate lift, hence it won't have lift off.

Sure, Mythbuster tested the myth, but through proper observation you will notice that both model and full scale plane in the myth has some forward momentum.

In my opinion, not definite fact, there's flaws in this debate.

- Propeller propelled air into the wing, thus able to generate lift despite being stationary.
- If plane are able to lift up without moving, why does it still need a runway? VTOL would be laughing stock since it's an invention that fixes nothing!

So IMO, a plane on a conveyor belt wouldn't fly away. I am on the 'No' camp