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The drawing shows two cars traveling in different directions with different speeds. Their velocities are: VAG = velocity of car A relative to the Ground = 27.3 m/s, due east VBG = velocity of car B relative to the Ground = 21.0 m/s, due north The driver of car B looks out the window and sees car A. What is the velocity (magnitude and direction) of car A as observed by the driver of car B? In other words, what is the velocity VAB of car A relative to car B? North Car A VAG VBG Car B East

The drawing shows two cars traveling in different directions with different speeds. Their velocities are: VAG = velocity of car A relative to the Ground = 27.3 m/s, due east VBG = velocity of car B relative to the Ground = 21.0 m/s, due north The driver of car B looks out the window and sees car A. What is the velocity (magnitude and direction) of car A as observed by the driver of car B? In other words, what is the velocity VAB of car A relative to car B? North Car A VAG VBG Car B East

College Physics
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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The drawing shows two cars traveling in different directions with different speeds. Their velocities are: VAG = velocity of car A relative to the Ground = 27.3 m/s, due east VBG = velocity of car B relative to the Ground = 21.0 m/s, due north The driver of car B looks out the window and sees car A. What is the velocity (magnitude and direction) of car A as observed by the driver of car B? In other words, what is the velocity VAB of car A relative to car B? North Car A VAG VBG Car B East
Transcribed Image Text:The drawing shows two cars traveling in different directions with different speeds. Their velocities are: VAG = velocity of car A relative to the Ground = 27.3 m/s, due east VBG = velocity of car B relative to the Ground = 21.0 m/s, due north The driver of car B looks out the window and sees car A. What is the velocity (magnitude and direction) of car A as observed by the driver of car B? In other words, what is the velocity VAB of car A relative to car B? North Car A VAG VBG Car B East
Expert Solution
Step 1

The vector form of velocities of Car A and Car B is,

V→AG=(27.3 m/s)i^

V→BG=(21 m/s)j^

 

The velocity of car A as observed by the car B is,

V→AB=V→AG-V→BG        =(27.3 m/s)i^-(21 m/s)j^

 

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