A sonar signal is sent from a ship and the signal returns from the bottom 3.75 s later. How deep is the ocean if the speed of sound in water is 1,530 m/s?

Respuesta :

Given:

The speed of sound in water is,

[tex]v=1530\text{ m/s}[/tex]

The signal returns after

[tex]t=3.75\text{ s}[/tex]

To find:

The depth of the ocean

Explanation:

The distance traveled by sound in this sound is,

[tex]\begin{gathered} d=vt \\ =1530\times3.75 \\ =5737.5\text{ m} \end{gathered}[/tex]

The depth of the ocean is,

[tex]\begin{gathered} D=\frac{d}{2} \\ =\frac{5737.5}{2} \\ =2868.75\text{ m} \end{gathered}[/tex]

Hence, the depth is 2868.75 m.