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emmy
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Relative Motion-- Airplane vs radar station and tracking the displacement
In Figure 4-49, a radar station detects an airplane approaching directly from the east. At first observation, the airplane is at distance d1 = 340 m from the station and at angle θ1 = 34° above the horizon. The airplane is tracked through an angular change Δθ = 122° in the vertical east–west plane; its distance is then d2 = 800 m. Find the (a) magnitude and (b) direction of the airplane's displacement during this period. Give the direction as an angle relative to due west, with a positive angle being above the horizon and a negative angle being below the horizon.
http://edugen.wiley.com/edugen/courses/crs4957/art/qb/qu/c04/fig04_55.gif
2. The attempt at a solution
I set the vectors head to tail, where a is the vector to the original sighting, b is the vector to the second sighting. So I did this:
[PLAIN]http://i629.photobucket.com/albums/uu15/amorxamor/blahhcopy.jpg I really really really appreciate any help :c
In Figure 4-49, a radar station detects an airplane approaching directly from the east. At first observation, the airplane is at distance d1 = 340 m from the station and at angle θ1 = 34° above the horizon. The airplane is tracked through an angular change Δθ = 122° in the vertical east–west plane; its distance is then d2 = 800 m. Find the (a) magnitude and (b) direction of the airplane's displacement during this period. Give the direction as an angle relative to due west, with a positive angle being above the horizon and a negative angle being below the horizon.
http://edugen.wiley.com/edugen/courses/crs4957/art/qb/qu/c04/fig04_55.gif
2. The attempt at a solution
I set the vectors head to tail, where a is the vector to the original sighting, b is the vector to the second sighting. So I did this:
[PLAIN]http://i629.photobucket.com/albums/uu15/amorxamor/blahhcopy.jpg I really really really appreciate any help :c
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