The nose of an ultralight plane is pointed south, and its

Chapter 3, Problem 3.37

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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 southwest relative to the earth. (a) In a vector-addition diagram, show the relationship of \(\vec{\boldsymbol{v}}_{\mathrm{P} / \mathrm{E}}\) (the velocity of the plane relative to the earth) to the two given vectors. (b) Letting x be east and y be north, find the components of \(\vec{\boldsymbol{v}}_{\mathrm{P} / \mathrm{E}}\). (c) Find the magnitude and direction of \(\vec{\boldsymbol{v}}_{\mathrm{P} / \mathrm{E}}\).

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