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# Hou to solve ? An airplane is flying with the velocity of V1 relative to the air.?

An airplane is flying with the velocity of V1 relative to the air. A wind with a velocity of V2 is blowing from west to east. What is the velocity of the airplane with respect to the Earth, and what should the angle with the meridian be to fly the airplane:

(1) southward, (2) northward, (3) westward and (4) eastward?

### 1 Answer

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- NCSLv 73 years agoFavorite Answer
1/

components are perpendicular, so

|V| = √(V1² - V2²)

Θ = arctan(V2/V1) west of south

2/

|V| = √(V1² - V2²)

Θ = arctan(V2/V1) west of north

3/

|V| = V1 - V2

Θ = 90º west

4/

|V| = V1 + V2

Θ = 90º east

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