Question

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?

Answer 1

Given:

The speed of sound in water is,

`v=1530\text{ m/s}`

The signal returns after

`t=3.75\text{ s}`

To find:

The depth of the ocean

Step-by-step explanation:

The distance traveled by sound in this sound is,

`\begin{gathered} d=vt \\ =1530*3.75 \\ =5737.5\text{ m} \end{gathered}`

The depth of the ocean is,

`\begin{gathered} D=(d)/(2) \\ =(5737.5)/(2) \\ =2868.75\text{ m} \end{gathered}`

Hence, the depth is 2868.75 m.