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A research vessel can use sonar to measure the depth of a body of water. a boat sends sound pulses downward. if the depth of the water is 610.0 m, what is the time between sending and receiving a sound pulse?

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Final answer:

To calculate the time it takes for a sonar pulse to travel to the ocean floor and back, the depth is multiplied by 2 and divided by the speed of sound in water. For a depth of 610 m and a speed of sound of 1450 m/s, the time is approximately 0.8414 seconds.

Step-by-step explanation:

Calculating the Time for a Sonar Pulse to Travel

To calculate the time taken for a sonar pulse to travel to the ocean floor and back to the research vessel, we would use the speed of sound in seawater and the known depth. The speed of sound in seawater is typically about 1450 m/s. The time 't' it takes for the sound to travel to the bottom and back is given by the formula:
t = 2d / v

where 'd' is the depth of the water and 'v' is the speed of sound in the water. Since 'd' is 610.0 m, we can substitute into the formula:


t = 2 × 610.0 m / 1450 m/s

The time 't' would be:


t = 0.8414 s

Therefore, the total time for the sonar pulse to travel to the ocean floor and back would be approximately 0.8414 seconds.

Moreover, the precision with which a sonar system can detect the time impact abilities such as determining the size and shape of an object based on the echo received. Sonar technology is widely used not only in navigation but also in various applications including nondestructive testing methods and studies of marine life.

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