Two identical police cars are chasing a robber. When at rest, their sirens have a frequency of 500 Hz. A stationary observer watches as the two cars approach. The siren of one car (car 1) has a frequency of 600 Hz, and the other (car 2) has a frequency of 700 Hz. (a) Which car is moving faster? (b) What is the speed of each car? (c) If the robber hears a frequency of 650 Hz from car 2, is car 2 catching up to the robber? (d) What is the speed of the robber?
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