Police radars detect the speed of cars in the following way: microwaves of a known frequency are shot at the car, they reflect off of the target vehicle, and return wo the police radar with a different frequency these received waves are interfered with an identical wave to the original wave sent out of the gun, and the beat frequency is measured. for this problem assume all motion is one dimensional, this way we can ignore transverse doppler shifts a) show that the wave, when is gets back to the radar is given as c+v where v is the relative motion between the police radar and the targeted car. hint: there wil be two doppler shifts that occur in this problem b) since cars, more often than not, are n(t traveling very fast u 《 c , show that the beat frequency beat i fo can be written as: 1 fbeat 2-fo hint: you may need to do a maclaurin expansion somewhere in this part. c) what is the measured beat frequency for a relative velocity of v 30 10.0 ghz?