a.
To show that the plane’s compass bearing is
Given information:
The velocity of the plane relative to the ground is given as
Calculation:
The velocity
The angle made the by plane with
So, the compass bearing of the plane (
b.
To show that the plane’s downrange speed is
Given information:
The velocity of the plane relative to the ground is given as
Calculation:
The velocity vector ignoring the upward component is
The magnitude of the vector
So, the plane’s downrange speed is
c.
To show that the plane is climbing at an angle
Given information:
The velocity of the plane relative to the ground is given as
Calculation:
From part (b), the magnitude of the downrange velocity is 195.2 mph. The upward velocity of the plane is 125 mph.
So, the angle at which the plane is climbing is
That means, the plane is climbing at angle
d.
To show that the plane’s overall speed is
Given information:
The velocity of the plane relative to the ground is given as
Calculation:
The overall speed of the plane is the magnitude of the velocity vector
So, the overall speed is
Chapter 8 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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