If you drop a stone into a well that is d = 122.0 m deep, as illustrated in the figure below, how soon after you drop the stone will you hear it hit the bottom of the well?

To determine how soon you will hear the stone hit the bottom of the well, you need to consider the speed of sound and the time it takes for the sound to travel from the bottom of the well to your location.

The speed of sound in air is approximately 343 meters per second (m/s). To calculate the time it takes for the sound to travel from the bottom of the well to your location, you can use the formula:

Time = Distance / Speed

In this case, the distance is the depth of the well, which is given as 122.0 meters (m). The speed of sound is 343 m/s. Plugging in these values, you can calculate the time it takes for the sound to travel:

Time = 122.0 m / 343 m/s

By dividing the distance by the speed, you find that it takes approximately 0.356 seconds for the sound to travel from the bottom of the well to your location. Therefore, you will hear the stone hit the bottom of the well around 0.356 seconds after you drop it.

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