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Answer:
<em>The resultant velocity has a magnitude of 38.95 m/s</em>
Explanation:
<u>Vector Addition</u>
Given two vectors defined as:
The sum of the vectors is:
The magnitude of a vector can be calculated by
Where x and y are the rectangular components of the vector.
We have a plane flying due west at 34 m/s. Its velocity vector is:
The wind blows at 19 m/s south, thus:
The sum of both velocities gives the resultant velocity:
The magnitude of this velocity is:
d = 38.95 m/s
The resultant velocity has a magnitude of 38.95 m/s