Amy, standing near a straight road, records the sound of the horn of a car trave

Question

Amy, standing near a straight road, records the sound of the horn of a car traveling at a constant speed. The recorded frequency as a function of the car's position along the road for trials at different car speeds is accurately graphed.

Using the data on the figure, calculate the speed of the car in trial T. Use 340 m/s for the speed of sound.

Amy, standing near a straight road, records the sound of the horn of a car traveling at a constant speed. The recorded frequency as a function of the car's position along the road for trials at different car speeds is accurately graphed. Using the data on the figure, calculate the speed of the car in trial T. Use 340 m/s for the speed of sound.

Explanation / Answer

(b) assume observed frequency is f, real frequency is f0, velocity of sound is vs, velocity of car is v

then

f = (vs / vs - v) f0

or

f0/f = 1 - v / vs

900/990 = 1 - v / 340

v = 30.9 m/s

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