10.A pilot wants her bearing to be 70° and her groundspeed to be 325 mph. There isa 45 mph wind blowing from 230°. What bearing should she take? What will her airspeed be?Round the speed to the nearest mph and the bearing to the nearest minute.

Answered: 10. A pilot wants her bearing to be 70°…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 30PP

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Question

10.
A pilot wants her bearing to be 70° and her groundspeed to be 325 mph. There is
a 45 mph wind blowing from 230°. What bearing should she take? What will her airspeed be?
Round the speed to the nearest mph and the bearing to the nearest minute.

Expert Solution

Step 1

Given information:

Here, θ_b and θ_w are the angles of bearing and wind direction respectively, v_p and v_w are the speed of the plane and the wind respectively.

Step 2

The situation is represented in the diagram below.

Step 3

The vector v_p in the component form can be represented as,

And the vector v_w in the component form can be represented as,

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