15. A tracking radar antenna is locked on an airplane flying at a constant altitude of 5...
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15. A tracking radar antenna is locked on an airplane flying at a constant altitude of 5 km, and a constant speed of 540 km/h. The airplane travels along a path that passes exactly above the radar station. The radar starts the tracking when the airplane is 100 km away.
(a) Derive an expression for the angle of the radar antenna as a function of time.
(b) Derive an expression for the angular velocity of the antenna, , as a function of time.
(c) Make two plots on the same page, one of versus time and the other of versus time, where the angle is in degrees and the time is in minutes for min.
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