Exercise 3.38 An airplane pilot wishes to fly due west. A wind of 90.0 km/h is b

Question

Exercise 3.38

An airplane pilot wishes to fly due west. A wind of 90.0 km/h is blowing toward the south.

Part A

If the airspeed of the plane (its speed in still air) is 360.0 km/h , in which direction should the pilot head?

Express your answer as an angle measured north of west.

14.5

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Part B

What is the speed of the plane over the ground?

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Exercise 3.38

An airplane pilot wishes to fly due west. A wind of 90.0 km/h is blowing toward the south.

Part A

If the airspeed of the plane (its speed in still air) is 360.0 km/h , in which direction should the pilot head?

Express your answer as an angle measured north of west.

=

14.5

   north of west

SubmitMy AnswersGive Up

Answer Requested

Part B

What is the speed of the plane over the ground?

v =   km/h  

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Incorrect; Try Again; 2 attempts remaining

Explanation / Answer

PART A

The aircraft ends up doing its 360kph. "along the hypotenuse" of a right triangle. It has to turn towards the north to counter the wind.
Angle = arcsin (90/360) = 14.47 degrees north of west.

PART B

Vmax= Vwest + Vwind(south) (this is a vector equation)
Then Vwest=sqrt( (Vmax )^2 - (Vwind(south)) ^2)

Speed over ground = sqrt. (360^2 - 90^2) = 348.56kph

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