Police RADAR speed detectors bounce microwave light radiation off of moving vehicles and detect the reflected waves. These waves are shifted in frequency by the Doppler effect, and the frequency shift Af = If,- f. | between the outgoing wave and the received waves provides a measure of the vehicle's speed. Though the waves here are light instead of sound, we will assume that the Doppler shift works exactly the same way, except that v = 343 m/s (the speed of sound) becomes c = 3.0 x 10*m/s (the speed of light). RADAR Transmits (a) An officer sitting in a stationary police car observes what appears to be a speeding school bus and uses her Doppler radar gun to send out a microwave of frequency, f, . Write an expression for the frequency forms observed by the bus as it moves towards the police car at a speed Uhus () bus should be a function of Vous, C, and f,). To input your solution, use v_b for Ubus and f_s for f. forus = (b) The radar waves are now reflected off of the moving bus, so the bus is still moving at speed Uh, becomes an emitter of the radar wave (a moving source of the wave). Write an expression for the frequency detected by the stationary police car, f, , in terms of vous, C, and fs, which is the frequency of the reflected wave. f. = (c) The Doppler shift is what is measured by the radar gun. Find an expression for the Doppler shift Af = If.-fal, in terms of Unus, C, and fe. Your expression should be simplified to have a common denominator. Af = (d) Note that the vehicle speed of