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Consider the following scenario. A pilot is steering a plane in the direction N 45° W at an air-speed (speed still in air) of 150 mi/h. A wind is blowing in the direction S 30° E at a speed of 34 mi/h. Set up the coordinate axes so that north is the positive y-direction and west is the negative x-direction. With respect to the still air, write a vector that represents the velocity of the plane and a vector that represents the velocity of the wind.

Consider the following scenario. A pilot is steering a plane in the direction N 45° W at an air-speed (speed still in air) of 150 mi/h. A wind is blowing in the direction S 30° E at a speed of 34 mi/h. Set up the coordinate axes so that north is the positive y-direction and west is the negative x-direction. With respect to the still air, write a vector that represents the velocity of the plane and a vector that represents the velocity of the wind.

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.1: Vectors In Two Dimensions
Problem 58E
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Consider the following scenario.
A pilot is steering a plane in the direction N 45° W at an air-speed (speed still in air) of 150 mi/h. A wind is blowing in the direction S 30° E at a speed of 34 mi/h.
Set up the coordinate axes so that north is the positive y-direction and west is the negative x-direction. With respect to the still air, write a vector that represents the velocity of the plane and a vector that represents the velocity of the wind.
V plane V wind = V = V = Give a velocity vector of the plane relative to ground. (Round your values to three decimal places.) plane wind Find Ivl. (Round your answer to one decimal place.) |v| = Find the true course and the ground speed (in mi/h) of the plane. (Round your answers to one decimal place.) true course N W ground speed mi/h
Transcribed Image Text:V plane V wind = V = V = Give a velocity vector of the plane relative to ground. (Round your values to three decimal places.) plane wind Find Ivl. (Round your answer to one decimal place.) |v| = Find the true course and the ground speed (in mi/h) of the plane. (Round your answers to one decimal place.) true course N W ground speed mi/h
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