Question

Arrange the wind vectors u, v, w, x, y, and z in increasing order of the direction angles of the vector Sam's with vector P.

A. u, x, w, v, y, z
B. v, y, u, w, x, z
C. y, w, v, x, u, z
D. x, u, v, w, y, z

Answer 1

The solution involves using vector addition and component analysis to determine the wind velocity (Vw) by its components in a coordinate system, with the given information leading to a calculation of Vw's magnitude.

Step-by-step explanation:

In this physics question, we are dealing with vector addition and component analysis to determine the wind's velocity. The provided strategy explains that the total velocity (Vtot) is the sum of both the wind's velocity (Vw) and the plane's velocity relative to the air mass (Vp). By finding the components of Vw along the x and y axes, which are defined due east and due north respectively, and knowing that Vp has only a vertical component, we can solve for the magnitude and direction of Vw. Using the given information that Uwy = -9.29 m/s, indicating a southward motion, and other components, we can calculate the magnitude of Vw.