The Doppler shift formula for the frequency detected is where f ' is the frequency emitted, v is the speed of sound, v_D is the speed of the detector, and v_s is the speed of the source. Suppose the source is traveling at 5 m/s away from the detector, the detector is traveling at 7 m/s toward the source, and there is a 3 m/s wind blowing from the source toward the detector. The values that should be substituted into the Doppler shift equation are: A) v_D = 7 m/s and v_s = 5 m/s B) v_D = 10 m/s and v_s = 8 m/s C) v_D = 4 m/s and v_s = 2 m/s D) v_D = 10 m/s and v_s = 2 m/s E) v_D = 4 m/s and v_s = 8 m/s

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Using the given values, we have: v_D = 7 m/s (the detector is traveling at 7 m/s towards the source) v_s = -5 m/s (the source is traveling at 5 m/s away from the detector) v = 343 m/s (speed of sound in air) Substituting these values into the Doppler shift formula given: f' = f((v + v_D)/(v - v_s)) f' = f((343+7)/(343-(-5))) f' = f(350/348) f' = f(175/174) Therefore, the answer is B.

The Doppler Shift Formula for the Frequency Detected Is