How far away is the rock face? (Wavelengths)

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A submarine sonar system emits a 325 Hz sound wave that reflects off an underwater rock face, returning in 8.50 seconds. The wavelength of the sound wave is 4.71 meters, leading to a calculated speed of 1530.75 m/s. After realizing the return time must be halved to 4.25 seconds, the distance to the rock face is determined to be 6.51 x 10^3 meters. The discussion also includes a note on formatting equations correctly in the forum. The participant resolves their initial confusion due to a calculator error.
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1. A submarine sonar system sends a burst of sound with a frequency of 325 Hz. The sound waves bounces off an underwater rock face and returns to the submarine in 8.50s. if the wavelength of the sound wave is 4.71 m, how far away is the rock face? The answer is 6.51 x 10^3m.



I keep trying this question different ways but the only thing that I believe I'm doing correct so far is:
v=f\lambda
v=(325Hz)(4.71m)
v=1530.75m/s
I also know that 8.50s must be divided in two, so that it will equal 4.25s.
Than I go to solve how far away is the rock...
v=\lambda/T
\lambda=vT
\lambda= (1530.75m/s)(4.25s)
\lambda= 6505
Never mind i figured out that i made a calculator error. Sorry ):
 
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Glad it worked out. Welcome to Physics Forums!

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