Question

a ship sends a sound wave straight to the seabed and receives the echo 1.5s later. the speed of sound in sea water is 1500 m/s how deep is the sea at that place​

Answer 1

Approximately
`1125\; \rm m`.

Step-by-step explanation:

Calculate the distance that sound would travel in
`1.5\; \rm s` at
`1500\; \rm m \cdot s^(-1)`:

`s = v\cdot t = 1500\; \rm m\cdot s^(-1)* 1.5\; \rm s = 2250\; \rm m`.

Sound waves in this question here needs to:

• travel from the ship to the bottom of the sea,
• get reflected at the ocean floor, and
• travel back to the ship from the bottom of the ship.

Hence, the total distance that sound travelled in that
`1.5\; \rm s` would be the sum of:

• the length of the path from the ship to the ocean floor, and
• the length of the path from the ocean floor back to the ship.

Therefore, the distance
`2250\; \rm m` here is supposed to be approximately twice the depth of the sea at that place. The depth of the sea would thus be approximately:

`\displaystyle (1)/(2)* 2250\; \rm m = 1125\; \rm m`.