a small aircraft is headed due south with a speed of 57.8 m/s with respect to still air. then, for 9.00 x 10^2 seconds a wind blows the plane so that it moves in a drection 45.0 degrees west of south, enen though the plane continues to point due south. the plane travels 81.0 km with respect to the ground in this time. determine the velocity (magnitude and direction) of the wind with respect to the ground. Determine the directional angle is relative to due south.