Chapter 11, Problem 15P

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, $\frac{d\theta }{dt}$ , as a function of time.

(C) Make two plots on the same page, one of ? versus time and the other of $\frac{d\theta }{dt}$ versus time, where the angle is in degrees and the time is in minutes for $0\le t\le 20$ mm.