Final answer:
To compute the ocean's depth using sonar, multiply the round-trip travel time by the speed of sound in sea water and divide by two. For a sound that returns in 2.5 seconds with a speed of 1450 m/s, the depth is 1812.5 meters.
Step-by-step explanation:
Calculating Ocean Depth Using Sonar
The question concerns the principles of sonar (Sound Navigation And Ranging) which is a technique that uses sound propagation to navigate, communicate with or detect objects on or under the surface of the water, such as other vessels or the seabed. To calculate the depth of the ocean using sonar, one would use the time it takes for a sound signal to travel to the ocean floor and back to the ship, known as the round-trip travel time. Given that sound travels at 1450 meters per second (m/s) in sea water and the signal returns in 2.5 seconds, the depth of the ocean can be calculated. Since sound has to travel to the ocean floor and back up, the total distance covered by the sound wave is twice the ocean's depth. Therefore, the depth can be determined by taking the round-trip travel time, multiplying it by the speed of sound, and dividing by two. Thus, the depth is (2.5 seconds * 1450 m/s) / 2, which equals 1812.5 meters.