As you stand by the side of the road, a car approaches you at a constant speed,

Question

As you stand by the side of the road, a car approaches you at a constant speed, sounding it's horn, and you hear a frequency of 76 Hz. After the car goes by, you hear a frequency of 65 Hz. What is the speed of the car? The speed of the sound in the air is 343 m/s As you stand by the side of the road, a car approaches you at a constant speed, sounding it's horn, and you hear a frequency of 76 Hz. After the car goes by, you hear a frequency of 65 Hz. What is the speed of the car? The speed of the sound in the air is 343 m/s

Explanation / Answer

vr = 0
v = 343 m/s
vs is what we have to find out
76 = (343/(343-vs)) fo
65 = (343/(343 + vs)fo
divide the 2 equations
76/65 = (343+vs)/(343-vs)
76*343 - 76vs = 65*343 + 65vs
3773 = 141 vs
vs = 26.75 m/s

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