A plane is flying to a city 716 km directly north of its initial location. Therefore the only component of the planes velocity relative to the earth most always be north The plane maintains a speed of 203 km/h relative to the air during its flight. The air is not standing still but has speed of 51.5 km/h relative to the earth. .(Let trie +x-axis point East and the and the +y-axis point North) Let p-Plane, a =Air. e=Earth Using double subscript notation and write the vector components for the velocity of the Plane relative to the Earth
A plane is flying to a city 716 km directly north of its initial location. Therefore the only component of the planes velocity relative to the earth most always be north The plane maintains a speed of 203 km/h relative to the air during its flight. The air is not standing still but has speed of 51.5 km/h relative to the earth. .(Let trie +x-axis point East and the and the +y-axis point North) Let p-Plane, a =Air. e=Earth Using double subscript notation and write the vector components for the velocity of the Plane relative to the Earth
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 71AP: You fly 32.0 km in a straight line in still air in the direction 35.0 south of west. (a) Find the...
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![A plane is flying to a city 716 km directly north of its initial location. Therefore the only component of the
planes velocity relative to the earth most always be north The plane maintains a speed of 203 km/h relative
to the air during its flight. The air is not standing still but has speed of 51.5 km/h relative to the earth. .(Let
trhe +x-axis point East and the and the +y-axis point North) Let p=Plane, a =Air. e=Earth
Using double subscript notation and write the vector components for the velocity of the Plane relative to the
Earth](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa86332cf-13cd-4d73-951d-3f91f9e9f634%2F93c8a6db-19d4-4e7f-838a-733e0e72eeb4%2F7u7urbh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A plane is flying to a city 716 km directly north of its initial location. Therefore the only component of the
planes velocity relative to the earth most always be north The plane maintains a speed of 203 km/h relative
to the air during its flight. The air is not standing still but has speed of 51.5 km/h relative to the earth. .(Let
trhe +x-axis point East and the and the +y-axis point North) Let p=Plane, a =Air. e=Earth
Using double subscript notation and write the vector components for the velocity of the Plane relative to the
Earth
![If the plane flies through a constant headwind blowing south at 51.5 km/h, find the speed of the plane relative
to the earth and how much time (in h) will it take to reach the city?
From the given we have
km
Vaex =
hr
km
Vaey =
hr
Substituting into our double subscript notation equations above we can solve for the speed of the plane
relative to the earth
km
Vpey =
hr
The time of travel for the trip is
ttrip
hr](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa86332cf-13cd-4d73-951d-3f91f9e9f634%2F93c8a6db-19d4-4e7f-838a-733e0e72eeb4%2Fw14e1cv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If the plane flies through a constant headwind blowing south at 51.5 km/h, find the speed of the plane relative
to the earth and how much time (in h) will it take to reach the city?
From the given we have
km
Vaex =
hr
km
Vaey =
hr
Substituting into our double subscript notation equations above we can solve for the speed of the plane
relative to the earth
km
Vpey =
hr
The time of travel for the trip is
ttrip
hr
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