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Use the following formula and information to find the two-way travel time:

\[
\text{Depth} = \frac{1}{2} \times T \times 1500
\]

where \( T \) is the two-way travel time in seconds, depth is in meters, and 1500 is the speed in meters per second.

What is the two-way travel time if the seafloor depth is 420 meters?

Answer :

Final answer:

In a seafloor depth of 420 meters, the two-way travel time for a sound wave would be 0.56 seconds given the constant speed of sound in water as 1500 meters/second.

Explanation:

The formula, Depth = 1/2 * T * 1500, can be used to calculate the two-way travel time (T), given the seafloor depth and the speed of sound in water. The depth given in the problem is 420 meters and the speed of sound in water is 1500 meters/second. You would like to solve for T. To do this, we rearrange the formula to get T = (Depth) / (1/2 * 1500). Plugging in our depth(to 420 meters), we would have T = 420 / (1/2 * 1500), which calculates to 0.56 seconds. Therefore, the two-way travel time of a sound wave to the seafloor and back, at a depth of 420 meters, would be 0.56 seconds.

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