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
AP CALCULUS TEST PREP-WORKBOOK
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