True Velocity of a Jet In what direction should the pilot in Exercise 60 head the plane for the true course to be due north?
To find: The direction of jet plane to head so that the true course is along north direction.
Answer to Problem 62E
The direction of jet plane should be
Explanation of Solution
Given:
The velocity of wind is
Calculation:
Vector u represents velocity of wind, vector v represents velocity of jet and vector p represents the resultant true velocity of jet plane which is in north direction, as shown below in Figure 1.
If
And
Substitute 55 for
Vertical component of velocity of wind is,
Substitute 55 for
Velocity vector u of wind is given by
Substitute
If
Horizontal component
Substitute
Vertical component
Substitute
Velocity vector v of river is given by
Therefore, vector v is,
If p represents the resultant true velocity vector of jet then,
Substitute
If the true course of the jet is in north direction, then horizontal component should be zero.
Solve for
Solve for
Thus direction is
Thus, the direction of jet plane should be
Chapter 9 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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