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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabb75337-a8ce-4ff9-8c07-7d58c277bdaa%2F1ec7f627-c5ad-4788-985b-4b7f6e09b9cc%2Fu9ghh25_processed.png&w=3840&q=75)
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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