I shouldn't have to explain this, but since certain persons don't understand basic physics, I will...
The atmosphere and water, and all fluids, and solids suspended in air or fluid such as balloons, planes, fish, etc., move along with the Earth's surface. Gravity holds them in sync with the Earth's rotation. Here's an illustration:
A car with driver and passenger is travelling at 100 kilometres per hour (~60 mph). Inside the car, the driver picks a penny from the console and lobs it over to the passenger. Does the penny suddenly travel "backwards" in the car at 100 Km/h? No. It continues to travel at the same speed as the car, and lands in the passenger's outstretched hand.
Similarly, a helicopter takes off vertically. The Earth doesn't suddenly "start" moving at 1000 mph beneath it, because the helicopter is moving
at the same speed and direction as the Earth beneath. Unless there is a wind, the atmosphere is doing the same thing.
A plane takes off (in
any direction) and gets to its cruising speed/altitude. Its airspeed relative to the ground is not 1000 mph plus or minus anything; it is simply the speed relative to the ground, which is almost entirely due to the propulsion of the airplane itself, not due to the ground moving beneath it.
People, this
is rocket science, but it's the easy part.