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Solved: The nose of an ultralight plane is pointed due
Chapter 3, Problem 37E(choose chapter or problem)
The nose of an ultralight plane is pointed south, and its airspeed indicator shows 35 m/s. The plane is in a 10-m/s wind blowing toward the southwest relative to the earth.
(a) In a vector addition diagram, show the relationship of \(\vec{v}_{P / E}\) (the velocity of the plane relative to the earth) to the two given vectors.
(b) Letting 𝑥 be east and 𝑦 be north, find the components of \(\vec{v}_{P / E}\).
(c) Find the magnitude and direction of \(\vec{v}_{P / E}\).
Equation Transcription:
Text Transcription:
vP/E
x
y
vP/E
vP/E
Questions & Answers
QUESTION:
The nose of an ultralight plane is pointed south, and its airspeed indicator shows 35 m/s. The plane is in a 10-m/s wind blowing toward the southwest relative to the earth.
(a) In a vector addition diagram, show the relationship of \(\vec{v}_{P / E}\) (the velocity of the plane relative to the earth) to the two given vectors.
(b) Letting 𝑥 be east and 𝑦 be north, find the components of \(\vec{v}_{P / E}\).
(c) Find the magnitude and direction of \(\vec{v}_{P / E}\).
Equation Transcription:
Text Transcription:
vP/E
x
y
vP/E
vP/E
ANSWER:
Solution 37E
Step 1 of 3:
a)Velocity of the plane relative to the air towards south,=35 m/s
Velocity of the air relative to the earth towards of southwest ,
=10 m/s
=
+
