Final answer:
To determine the heading the plane must travel in order to have a ground velocity that is due south, we can construct a vector diagram. The airspeed of the plane is added to the velocity of the wind to obtain the ground velocity. The direction of the ground velocity vector will give us the heading the plane must travel.
Step-by-step explanation:
To determine the heading the plane must travel in order to have a ground velocity that is due south, we need to consider the velocities of the plane and the wind. The airspeed of the plane is 240 km/h, and the wind is blowing west at 60 km/h relative to the ground. We can construct a vector diagram to calculate the resultant velocity of the plane with respect to the ground.
In the vector diagram, we can draw the airspeed of the plane as a vector pointing north with a magnitude of 240 km/h. We then draw the velocity of the wind as a vector pointing west with a magnitude of 60 km/h. The resultant vector, obtained by adding the vectors representing the airspeed and the wind velocity, will give us the ground velocity of the plane.
Finally, we can draw a vector representing the ground velocity of the plane due south. The direction in which this vector is pointing will be the heading the plane must travel.