physics

The velocity of the air with respect to the ground can be determined by using the vector addition formula. The velocity of the air, Vair, is equal to the vector sum of the velocity of the airplane with respect to the ground, Vplane, and the velocity of the airplane with respect to the air, Vplane-air. Therefore, Vair = Vplane + Vplane-air. The velocity of the airplane with respect to the ground is 200 m/s at an angle of 30 degrees North of East. The velocity of the airplane with respect to the air is 150 m/s at an angle of 60 degrees North of East. Therefore, Vplane = (200 m/s, 30 degrees) and Vplane-air = (150 m/s, 60 degrees). To calculate Vair, we can convert the angles to radians and then use the vector addition formula: Vair = (Vplane * cos(30 degrees), Vplane * sin(30 degrees)) + (Vplane-air * cos(60 degrees), Vplane-air * sin(60 degrees)) Vair = (200*cos(30 degrees)+150*cos(60 degrees), 200*sin(30 degrees)+150*sin(60 degrees)) Vair = (223.13 m/s, 219.37 m/s) Therefore, the velocity of the air with respect to the