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y B. 123° east 40° x A radar station, located at the origin of xy plane, as shown in (Figure 1), detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is ŔA. The position vector ŔA has a magnitude of 360 m and is located at exactly 40° above the horizon. The airplane is tracked for another 123° in the vertical east-west plane for 5.0 s, until it has passed directly over the station and reached point B. The position of point B relative to the origin is ŔB (the magnitude of ŔB is 880 m). The contact points are shown in the diagram, where the x axis represents the ground and the positive y direction is upward.

y B. 123° east 40° x A radar station, located at the origin of xy plane, as shown in (Figure 1), detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is ŔA. The position vector ŔA has a magnitude of 360 m and is located at exactly 40° above the horizon. The airplane is tracked for another 123° in the vertical east-west plane for 5.0 s, until it has passed directly over the station and reached point B. The position of point B relative to the origin is ŔB (the magnitude of ŔB is 880 m). The contact points are shown in the diagram, where the x axis represents the ground and the positive y direction is upward.

An Introduction to Physical Science
An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter15: Place And Time
Section: Chapter Questions
Problem 1E: What is the number of latitude degrees between place A (50N, 90W) and place B (60S, 90E)?
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Define the displacement of the airplane while the radar was tracking it: RBA=RB−RA. What are the components of R→BA?
Express R→BA in terms of the unit vectors i^ and j^, in meters.
y B. 123° east 40° x
Transcribed Image Text:y B. 123° east 40° x
A radar station, located at the origin of xy plane, as shown in (Figure 1), detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is ŔA. The position vector ŔA has a magnitude of 360 m and is located at exactly 40° above the horizon. The airplane is tracked for another 123° in the vertical east-west plane for 5.0 s, until it has passed directly over the station and reached point B. The position of point B relative to the origin is ŔB (the magnitude of ŔB is 880 m). The contact points are shown in the diagram, where the x axis represents the ground and the positive y direction is upward.
Transcribed Image Text:A radar station, located at the origin of xy plane, as shown in (Figure 1), detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is ŔA. The position vector ŔA has a magnitude of 360 m and is located at exactly 40° above the horizon. The airplane is tracked for another 123° in the vertical east-west plane for 5.0 s, until it has passed directly over the station and reached point B. The position of point B relative to the origin is ŔB (the magnitude of ŔB is 880 m). The contact points are shown in the diagram, where the x axis represents the ground and the positive y direction is upward.
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