Respuesta :
The 1.8 s is the time for the signal to reach the ocean floor and return to the ship so the time to reach ocean floor = 1.8 / 2 = 0.90 seconds.
depth of ocean = speed * time
= 1498 * 0.90 = 1348.2 m Answer
depth of ocean = speed * time
= 1498 * 0.90 = 1348.2 m Answer
Speed is the ratio of distance and time. The depth of the ocean just below the ship is 1348.15 m.
What are Speed, distance, and Time?
We know that speed, distance, and time all are in a relationship with each other. this relationship can be given as,
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
We know that the speed of sound in water is 1498 m/s. while 1.80 s later the reflected signal is detected. Therefore, the distance covered by the signal can be written as,
[tex]\text{Distance Traveled by the Sonar signal} \\= \text{Speed of the Sonar wave} \times \text{Time taken to reflect back}[/tex]
[tex]\text{Distance Traveled by the Sonar wave} = 1498 \times 1.80 = 2696.4\rm\ m[/tex]
Thus, the total distance traveled by the sonar wave is 2696.3 m.
Now, as we know that the total distance traveled by the sonar wave is twice the distance between the ship and the point from which the sonar wave is reflected. therefore, the distance between the ocean and the ship
[tex]\text{Distance between the Ocean and Ship} = \dfrac{\text{Distance Traveled by the Sonar wave}}{2}[/tex]
[tex]\text{Distance between the Ocean and Ship} = \dfrac{2696.3}{2} = 1348.15\rm\ m[/tex]
Hence, the depth of the ocean just below the ship is 1348.15 m.
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