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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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

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

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