The airplane above now moves due east while the alien pilot points the plane somewhat south of east, toward a steady wind that blows to the northeast. The plane Phas velocity ⃗vP W relative to the wind W , with an airspeed (speed relative to the wind) of 215 km/h, directed at angle θ south of east. The wind has velocity ⃗vWG relative to the ground G with speed 65.0 km/h, directed 20.0◦ east of north. What is the magnitude of the velocity ⃗vP G of the plane relative to the ground, and what is θ?
The airplane above now moves due east while the alien pilot points the plane somewhat south of east, toward a steady wind that blows to the northeast. The plane Phas velocity ⃗vP W relative to the wind W , with an airspeed (speed relative to the wind) of 215 km/h, directed at angle θ south of east. The wind has velocity ⃗vWG relative to the ground G with speed 65.0 km/h, directed 20.0◦ east of north. What is the magnitude of the velocity ⃗vP G of the plane relative to the ground, and what is θ?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The airplane above now moves due east while the alien pilot points the plane somewhat south of east, toward a steady wind that blows to the northeast. The plane Phas velocity ⃗vP W relative to the wind W , with an airspeed (speed relative to the wind) of 215 km/h, directed at angle θ south of east. The wind has velocity ⃗vWG relative to the ground G with speed 65.0 km/h, directed 20.0◦ east of north. What is the magnitude of the velocity ⃗vP G of the plane relative to the ground, and what is θ?
Transcribed Image Text:Trajectory
Line of sight
h
1
Transcribed Image Text:This is the plane's actual
direction of travel.
N
VPG
E
N
This is the plane's
V pw
20°
V WG
v PW
orientation.
This is the wind
direction.
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