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A radar station, located at the origin of xz plane, as shown in the figure (Figu

ID: 2223481 • Letter: A

Question

A radar station, located at the origin of xz plane, as shown in the figure (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 vector R_A. The position vector R_A has a magnitude of 360 m and is located at exactly 40 degrees above the horizon. The airplane is tracked for another 123 degrees 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 vector R_B (the magnitude of vector R_B is 880 m. The contact points are shown in the diagram, where the x axis represents the ground and the positive z direction is upward. Define the displacement of the airplane while the radar was tracking it: Vector R_BA = Vector R_B - R_A. What are the components of vector R_BA? Express vector R_BA in meters as an ordered pair, separating the x and z components with a comma, to two significant figures.

Explanation / Answer

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