The velocity of an airplane with respect to the ground is 2.00 × 10² m/s at an angle of 30.0 degrees NORTH of EAST. The velocity of the airplane with respect to the air is 1.50 × 10² m/s at an angle of 60.0 degrees NORTH of EAST. What is the velocity of the air with respect to the ground? A) 112 m/s at 50 degrees NORTH of EAST B) 103 m/s at 17 degrees SOUTH of EAST C) 134 m/s at 49 degrees SOUTH of EAST D) 134 m/s at 17 degrees NORTH of EAST E) 103 m/s at 65 degrees NORTH of EAST

Question

Quizplus · Accepted Answer

The velocity of the air with respect to the ground can be found by subtracting the velocity of the airplane with respect to the air from the velocity of the airplane with respect to the ground, using vector subtraction. This results in a vector pointing SOUTH of EAST, which matches option B's direction and magnitude after performing the vector calculation.

The Velocity of an Airplane with Respect to the Ground