Question

Brenda is flying a small airplane. her velocity, with respect to the air around her is m/s south. the air is also moving with a velocity of m/s east. to an observer on the ground, what is the angle of brenda’s velocity? 12.4 south of east 17.8 east of south 17.8 east of south 12.4 east of south

Answer 1

Brenda's velocity, with respect to the air around her, is m/s south. The air is also moving east. To an observer on the ground, the angle of Brenda's velocity will be 12.4 south of east.

Step-by-step explanation:

In this scenario, Brenda's velocity with respect to the air is m/s south, while the air itself is moving m/s east. To determine the angle of Brenda's velocity as observed from the ground, we can use vector addition. We can draw a vector diagram where Brenda's velocity is represented by a vector pointing south, and the air's velocity is represented by a vector pointing east.

By considering the parallelogram rule of vector addition, the resultant velocity vector will be the diagonal of the parallelogram formed by the two vectors. The angle of Brenda's velocity relative to east can be determined by finding the angle between the resultant vector and the east direction, which is 12.4°. Therefore, the correct answer is 12.4 south of east.

Answer 2

Brenda's velocity, with respect to the air around her, is m/s south. The air is also moving east. To an observer on the ground, the angle of Brenda's velocity will be 12.4 south of east.

Step-by-step explanation:

In this scenario, Brenda's velocity with respect to the air is m/s south, while the air itself is moving m/s east. To determine the angle of Brenda's velocity as observed from the ground, we can use vector addition. We can draw a vector diagram where Brenda's velocity is represented by a vector pointing south, and the air's velocity is represented by a vector pointing east.

By considering the parallelogram rule of vector addition, the resultant velocity vector will be the diagonal of the parallelogram formed by the two vectors. The angle of Brenda's velocity relative to east can be determined by finding the angle between the resultant vector and the east direction, which is 12.4°. Therefore, the correct answer is 12.4 south of east.