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Answer to Question #5100 in Mechanics | Relativity for anne

Question #5100
an airplane is heading due north at a speed of 300km/h. if a wind begins blowing from southwest at a speed of 50km/hr (average), calculate the velocity of the plane and how far off course it will be after 30 minutes
Expert's answer
<img src="../../..//assignments/uploaded_files/static/0f/93/0f930d08caf44dc084f6fa50a10bc965.png" title="" alt="">
V=300km/h
U=50km/h
t=30 min
<img src="data:image/png;base64,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" alt="">
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