Lets say we moved upwards a little bit in a parachute, then after 12 hours, due to Earth's rotation, we must be above US? (Considering initially we were in India) Answer is clearly NO. Thats because of Earth's atmosphere. It applies force on us and make us move with Earth.

Consider 2nd situation. We are now at moon. No atmosphere! So now can we move just by the above mentioned way?

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