An airplane flies at 300 mph with a direction of 100° relative to the air. The plane experiences a wind that blows 40 mph with a direction of 60°. Part A: Write each of the vectors in linear form. Show all necessary calculations. Part B: Find the sum of the vectors. Show all necessary calculations. Part C: Find the true speed and direction of the airplane. Round the speed to the thousandths place and the direction to the nearest degree. Show all necessary calculations.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
Problem 42PQ: The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 =...
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An airplane flies at 300 mph with a direction of 100° relative to the air. The plane experiences a wind that blows 40 mph with a direction of 60°.
Part A: Write each of the vectors in linear form. Show all necessary calculations.
Part B: Find the sum of the vectors. Show all necessary calculations.
Part C: Find the true speed and direction of the airplane. Round the speed to the thousandths place and the direction to the nearest degree.
Show all necessary calculations.
Transcribed Image Text:An airplane flies at 300 mph with a direction of 100° relative to the air. The plane experiences a wind that blows 40 mph with a direction of 60°. Part A: Write each of the vectors in linear form. Show all necessary calculations. Part B: Find the sum of the vectors. Show all necessary calculations. Part C: Find the true speed and direction of the airplane. Round the speed to the thousandths place and the direction to the nearest degree. Show all necessary calculations.
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