Asked by enrique

A
 bat­ watcher
 detects
 the
 sound
 of
 a
 hunting
 greater
horseshoe
 bat 
at
 76 kHz .
She
 knows

that
 this
 species
 produces
 echolocation 
calls
 at
 80 kHz .
What
 is
 the
 speed
 of
 this
 bat
 with
 respect
 to
 the
bat­watcher?
 Is
 the
 bat
 receding
 or
 approaching?


Answered by Henry
Fr = ((Vs-Vr)/(Vs+Vb))*Fb
Fr = ((343-0)/(343+Vb))*80 = 76 kHz
(343/(343+Vb))*80 = 76
27,440/(343+Vb) = 76
26,068+76Vb = 27,440
76Vb = 27440 - 26,068 = 1372
Vb = 18 m/s. = Velocity of the bat.

The bat is receding, because the freq.
heard is lower than the freq. emitted by the bat.

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