Velocity Vector in Cross-Wind: How to Calculate the Direction for a Plane to Fly Due East

What is the key factor that determines the direction a plane should head to end up going due east?

A. Velocity of the cross-wind

B. Velocity of the airplane relative to the air

C. Speed of the airplane

D. Angle from the x-axis pointing east

Answer:

The key factor that determines the direction a plane should head to end up going due east is the velocity of the cross-wind.

When an airplane is flying in a cross-wind, the velocity of the wind plays a crucial role in determining the plane's final direction. In order to end up flying due east, the pilot must adjust the course of the plane based on the velocity and direction of the cross-wind.

The velocity of the airplane relative to the air and the speed of the cross-wind are essential components in calculating the resultant velocity of the plane relative to the ground. This calculation involves vector addition and trigonometry to determine the angle at which the plane should head to achieve the desired eastward direction.

Understanding the concept of velocity vectors in cross-wind situations is important for pilots to navigate effectively and reach their desired destinations. By considering factors such as wind speed and direction, pilots can make necessary adjustments to ensure a smooth and efficient flight.