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
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:If the plane flies through a constant crosswind blowing east at 51.5 km/h, find the direction of the plane
relative to the air (hint: draw the velocity diagram), 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 =
br
The time of travel for the trip is
ttrip
hr

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
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