After covering the time that the windless journey is usually completed, how far is the plane from Cuiabá?

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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The distance between the two cities (of Cuiabá and Campo Grande) is 565 km. On a windless day, an airplane travels in a straight line, traveling at a constant speed of 312 km/h. On a given day, all the way between the cities, a constant wind of speed v⃗ a of module 68 km/h blows at an angle of θ=60o with the direction defined by the distance between the cities, as shown in the figure below .

 

An inexperienced pilot, to go from Cuiabá to Campo Grande, guides the plane's speed towards Campo Grande, ignoring the wind and applying the usual speed of 312 km/h in relation to the wind. After covering the time that the windless journey is usually completed, how far is the plane from Cuiabá?

Campo Grande
va
Cuiabá
Transcribed Image Text:Campo Grande va Cuiabá
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