Apilot sets the plane due north, but flies at a speed with respect to air given by Vpa = 425 km/h. A wind is blowingat Vwg = 41 km/h with respect to the ground at an angle of 50° south of due east. What is the speed of the plane withrespect to the ground, Vpg?(A) 473.4 km/h(B)315.6 km/h(C)392.8 km/h552.3 km/h157.8 km/h(D)(E)

Name: Apilot sets the plane due north, but flies at a speed with respect to
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Description: Apilot sets the plane due north, but flies at a speed with respect to air given by Vpa = 425 km/h. A wind is blowingat Vwg = 41 km/h with respect to the ground at an angle of 50° south of due east. What is the speed of the plane withrespect to the g

Answered: A pilot sets the plane due north, but…

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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A
pilot sets the plane due north, but flies at a speed with respect to air given by Vpa = 425 km/h. A wind is blowing
at Vwg = 41 km/h with respect to the ground at an angle of 50° south of due east. What is the speed of the plane with
respect to the ground, Vpg?
(A) 473.4 km/h
(B)
315.6 km/h
(C)
392.8 km/h
552.3 km/h
157.8 km/h
(D)
(E)

Expert Solution

Step 1

Given that,

The speed of the plane with respect to air is $v_{p a} = 425 k m / h$

The speed of the wind is $v_{w g} = 41 k m / h$

The wind is blowing with respect to the ground at an angle of $θ = 50 °$ south of due east.

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