Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 190 mi/h. A wind is blowing in the direction S 30° E at a speed of 32 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
Give a velocity vector of the plane relative to ground. (Round your values to three decimal places.)
V = V
plane
+ v
wind
Find |v|. (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
ground speed
mi/h
Transcribed Image Text: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 190 mi/h. A wind is blowing in the direction S 30° E at a speed of 32 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 Give a velocity vector of the plane relative to ground. (Round your values to three decimal places.) V = V plane + v wind Find |v|. (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 ground speed mi/h
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