Susan is an airline pilot flying from one city to another city 1357 km away due east. Her airplane is capable of flying 590 km/h in still air. In the absence of wind, she would simply aim her airplane due east and arrive at her destination 2.30 h later (a very simple Chapter 2 question). Unfortunately for her (and for you), there is a cross-wind (due north or due south -- you need to figure out which direction) which remains constant througout her trip. To account for the wind, she aims the airplane in the direction 27.0° south of east. City #1 City #2 Draw a vector diagram showing how the velocities of the plane relative to the air (õpA), а. plane relative to the ground (õpg), and air relative to the ground (VAG) are related to one another. The following should be obvious from your diagram: (1) the direction of each velocity vector, and (2) which two velocities add up to the third. b. Calculate the wind speed. C. How long does it take for Susan to reach her destination?

Susan is an airline pilot flying from one city to another city 1357 km away due east. Her airplane is capable of flying 590 km/h in still air. In the absence of wind, she would simply aim her airplane due east and arrive at her destination 2.30 h later (a very simple Chapter 2 question). Unfortunately for her (and for you), there is a cross-wind (due north or due south -- you need to figure out which direction) which remains constant througout her trip. To account for the wind, she aims the airplane in the direction 27.0° south of east. City #1 City #2 Draw a vector diagram showing how the velocities of the plane relative to the air (õpA), а. plane relative to the ground (õpg), and air relative to the ground (VAG) are related to one another. The following should be obvious from your diagram: (1) the direction of each velocity vector, and (2) which two velocities add up to the third. b. Calculate the wind speed. C. How long does it take for Susan to reach her destination?

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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Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

Susan is an airline pilot flying from one city to another city 1357 km away due east. Her airplane is
capable of flying 590 km/h in still air. In the absence of wind, she would simply aim her airplane
due east and arrive at her destination 2.30 h later (a very simple Chapter 2 question). Unfortunately
for her (and for you), there is a cross-wind (due north or due south -- you need to figure out which
direction) which remains constant througout her trip. To account for the wind, she aims the airplane
in the direction 27.0° south of east.
City #1
City #2
Draw a vector diagram showing how the velocities of the plane relative to the air (õpA),
а.
plane relative to the ground (õpg), and air relative to the ground (VAG) are related to one
another. The following should be obvious from your diagram: (1) the direction of each velocity
vector, and (2) which two velocities add up to the third.
b.
Calculate the wind speed.
C.
How long does it take for Susan to reach her destination?

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