A plane has a speed of 200 km/h in still air. The pilot starts from Airport X. She tries to fly to Airport Y, which is at a distance of 350 km at north-west (i.e. N 45° W) of Airport X. Without noticing the wind, she heads the plane in that direction. After flying for 1.0 h, the pilot finds that she is 30 km off course to the west of where she expected to be after an hour assuming there was no wind. (a) What is the velocity and direction of the wind? (b) In what direction should the pilot have headed the plane to fly directly along a straight path from Airport X to Airport Y without being blown off course? In other words, find the value of the west-of-north angle that the pilot has to head the plane. [Hint: You may need to use Law of Sines] c) If the pilot were to fly directly along a straight path from Airport X to Airport Y how much time would the whole trip take?
A plane has a speed of 200 km/h in still air. The pilot starts from Airport X. She tries to fly to Airport Y, which is at a distance of 350 km at north-west (i.e. N 45° W) of Airport X. Without noticing the wind, she heads the plane in that direction. After flying for 1.0 h, the pilot finds that she is 30 km off course to the west of where she expected to be after an hour assuming there was no wind. (a) What is the velocity and direction of the wind? (b) In what direction should the pilot have headed the plane to fly directly along a straight path from Airport X to Airport Y without being blown off course? In other words, find the value of the west-of-north angle that the pilot has to head the plane. [Hint: You may need to use Law of Sines] c) If the pilot were to fly directly along a straight path from Airport X to Airport Y how much time would the whole trip take?
College Physics
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ISBN:9781305952300
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A plane has a speed of 200 km/h in still air. The pilot starts from Airport X. She tries to
fly to Airport Y, which is at a distance of 350 km at north-west (i.e. N 45° W) of Airport
X. Without noticing the wind, she heads the plane in that direction.
After flying for 1.0 h, the pilot finds that she is 30 km off course to the west of where
she expected to be after an hour assuming there was no wind.
(a) What is the velocity and direction of the wind?
(b)
In what direction should the pilot have headed the plane to fly
directly along a straight path from Airport X to Airport Y without being
blown off course? In other words, find the value of the west-of-north
angle that the pilot has to head the plane.
[Hint: You may need to use Law of Sines]
(c) If the pilot were to fly directly along a straight path from Airport X to
Airport Y, how much time would the whole trip take?
E](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8a9802b-ded9-4a7b-93c8-71218002814a%2F7af268d4-0ff1-40cd-9e32-59dd0e85dfcb%2Fz869dnq_processed.png&w=3840&q=75)
Transcribed Image Text:1.
A plane has a speed of 200 km/h in still air. The pilot starts from Airport X. She tries to
fly to Airport Y, which is at a distance of 350 km at north-west (i.e. N 45° W) of Airport
X. Without noticing the wind, she heads the plane in that direction.
After flying for 1.0 h, the pilot finds that she is 30 km off course to the west of where
she expected to be after an hour assuming there was no wind.
(a) What is the velocity and direction of the wind?
(b)
In what direction should the pilot have headed the plane to fly
directly along a straight path from Airport X to Airport Y without being
blown off course? In other words, find the value of the west-of-north
angle that the pilot has to head the plane.
[Hint: You may need to use Law of Sines]
(c) If the pilot were to fly directly along a straight path from Airport X to
Airport Y, how much time would the whole trip take?
E
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