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A research vessel is mapping the bottom of the ocean using sonar. It emits a short sound pulse called "ping" downward. The frequency of the sound is 5600 Hz. In water sound propagates at a speed of 1474 m/s. The sound pulse is then reflected back from the bottom of the ocean and it is detected by the vessel 8.88 s after it was emitted. How deep is the ocean just below the vessel?

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abiolaraymond1995

Answer:

The ocean is 6485.6m deep when measured from the vessel

Explanation:

v=1474m/s

t=8.88s

let d represent distance from the vessel to the ocean bottom.

an echo travels a distance equivalent to 2d, that is to and fro after it reflects from the obstacle.

[tex]velocity=\frac{distance}{time}\\ v=\frac{2d}{t} \\vt=2d\\d=\frac{vt}{2}[/tex]

[tex]d=\frac{1474*8.8}{2}[/tex]

d= 6485.6m

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