Showing Plane's Relation to Earth w/ Two Vectors

AI Thread Summary
To show the relationship of the plane to the Earth using two vectors, a vector addition diagram is needed to represent the plane's velocity and wind vector. The plane's airspeed is 35 m/s south, while the wind is 10 m/s southwest. By breaking down the wind vector into its components, the resultant vector representing the plane's velocity relative to the Earth can be calculated. The components of this resultant vector can be expressed in terms of east (x) and north (y) directions. Finally, the magnitude and direction of the resultant vector can be determined using trigonometric methods.
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Homework Statement



How can i show the relationship of a plane relative to the Earth using two given vectors?
The nose of an ultralight plane is pointed south, and its airspeed indicator shows 35 m/s. The plane is in a 10 m/s wind blowing toward the southwet relative to the earth.

a) In a vector addition diagram, show the relationship of the vector of the velocity of the plane relative to the Earth to the two given vectors.

b) Leting x be east and y be north, find the components of the vector of plane relative to the earth.

c) Find the magnitude and direction of the vector of the plane relative to the earth


Homework Equations





The Attempt at a Solution



I am unsure how to start this problem. I have tried using a freebody diagram but that wasnt useful.
 
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