Plane and The Wind Vectors and Projectiles

Suppose the three planes within the animation below. Every plane is heading south along with a speed of 100 mi/hr. Every plane flies amidst a wind that blows at 20 mi/hr. Here in the first case, the plane encounters a tailwind (from behind) of 20 mi/hr. The joint effect of the tailwind and the plane speed gives a resultant velocity of 120 mi/hr. In another case, the plane encounters a headwind (from the front) of 20 mi/hr. A combined effect of the headwind and the plane speed gives a resultant velocity of 80 mi/hr. In the third case, the plane encounters a crosswind (from the side) of 20 mi/hr. A combined effect of the headwind and the plane speed gives a resultant velocity of 102 mi/hr (directed at an 11.3 degree angle east of south).