Final answer:
The question involves physics and the concept of relative motion in kinematics. It requires calculating resultant velocities of airplanes considering airspeed and wind conditions using vector addition. This type of problem is crucial for navigation and travel time estimations in aviation.
Step-by-step explanation:
The subject of the question pertains to the principles of physics, specifically kinematics involving vectors and relative motion. These problems require an understanding of combining velocities to find the net velocity of an object such as an airplane, whether it is dealing with wind acting on the plane or its resultant speed and direction relative to the ground. A typical approach to solving these problems involves using vector addition, where the velocity of the airplane and the velocity of the wind are added as vectors to find the resultant velocity, which is the true path and speed of the airplane as observed from the ground.
For example, in the case of a plane flying north at 200 m/s against a headwind blowing from the north at 70 m/s, you would subtract the wind speed from the plane's airspeed to find the resultant velocity because the wind is opposing the motion of the plane. The resultant velocity of the plane would thus be 200 m/s - 70 m/s = 130 m/s due north.
Students are often asked to calculate the resultant velocities under different conditions such as with tailwinds or crosswinds, and to determine the effects of these conditions on the airplane's velocity relative to the ground. These calculations are important for ensuring accurate navigation and travel time estimations in aviation.