To calculate: To solve the navigation of an airplane.
Answer to Problem 50RE
The flying direction of the airplane is approximately
Explanation of Solution
Given information: The given curve as:
An airplane, flying in the direction east of
The airplane maintains its compass heading but, because of the wind, acquires a new ground speed and direction. What are they?
Calculation:
The component form of a
Where
Now, also know that the positive
Since we have that the flying direction of the airplane in the still air is
The speed is magnitude of a velocity vector, then we have that the velocity vector of the flying direction of the airplane in the still air is equal to as:
The positive
Then, if,
According to the previous results, we can conclude that the velocity vector of the flying direction of the airplane is equal to
The magnitude of a vector
The speed of the airplane can be calculated as:
The angle of the velocity vector is:
because have that
Then we have that the flying direction of the airplane is approximately
Chapter 10 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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