To calculate: The ground speed and direction of the airplane.
Answer to Problem 50RE
The required ground speed and direction of the airplane are 591.982 mph and
Explanation of Solution
Given information:
The direction of the airplane =
Speed of the airplane = 540 mph
Speed of the tail = 55 mph
Direction of the tail =
Calculation:
Consider the magnitude and direction angle of a
Write the component form of the vector as:
So the velocity vector is,
The direction of the tail wind is
Write the velocity vector as:
It is seen that the sum of two velocity vectors is the resultant vector and the sum of two vectors
Thus, the resultant vector is:
Also, it is known that the magnitude of the velocity vector is the speed and the magnitude of a vector
The magnitude of the velocity vector is:
Also, it is known that the direction angle
So, the direction of the airplane is:
Hence, the required ground speed and direction of the airplane are 591.982 mph and
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic
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