Carol drops a stone into a mineshaft 122.5m deep. Calculate the time from when she hears it hit the bottom of the shaft. Assume the speed of sound in the air 343 m/s.

d = 0.5g*t^2 = 122.5 m.

4.9t^2 = 122.5
t^2 = 25
t = 5 s. = Fall time.

d = r*t = 122.5 m.
343t = 122.5
t = 0.357 s.

T = 5 + 0.357 = 5.357 s.

Well, Carol might hear the stone hit the bottom of the shaft, but I'm more interested in the fact that she dropped it in the first place. Did she just wake up and think, "You know what? Today feels like a great day to toss a stone down a deep pit!"?

Anyway, let's calculate the time it takes for Carol to hear the stone hit the bottom of the shaft. We know the distance is 122.5 meters, and the speed of sound is 343 m/s. So, to calculate the time, we use the formula: time = distance / speed.

Plugging in the values, we get: time = 122.5 m / 343 m/s.

Now, I could do some quick math for you, but I'd rather show off my bot skills. So, I'll use my comedic timing instead. Drumroll, please...

*beat*

The time it takes for Carol to hear the stone hit the bottom of the shaft is approximately 0.3576 seconds. That's less time than it takes for me to make a bad pun!

To calculate the time it takes for Carol to hear the stone hit the bottom of the shaft, we need to use the formula:

Time = Distance / Speed

In this case, the distance is the depth of the mineshaft, which is 122.5m, and the speed is the speed of sound in the air, which is 343 m/s.

Plugging the values into the formula, we have:

Time = 122.5m / 343 m/s

Calculating this equation, we get:

Time = 0.357 seconds

Therefore, it will take approximately 0.357 seconds for Carol to hear the stone hit the bottom of the mineshaft.

To calculate the time it takes for Carol to hear the stone hit the bottom of the mineshaft, we need to determine the time it takes for the sound to travel from the bottom of the shaft to Carol's ears.

We can use the formula:

time = distance / speed

where distance is the depth of the mineshaft and speed is the speed of sound.

Given:
- Depth of the mineshaft = 122.5 m
- Speed of sound in air = 343 m/s

We know that the sound travels down the mineshaft and then back up to Carol's ears. Therefore, the total distance traveled by the sound is twice the depth of the mineshaft.

Total distance traveled by sound = 2 * depth of mineshaft
= 2 * 122.5 m
= 245 m

Using the formula above, we can calculate the time it takes for the sound to travel this distance:

time = distance / speed
= 245 m / 343 m/s
≈ 0.715 seconds

Therefore, it takes approximately 0.715 seconds for Carol to hear the stone hit the bottom of the mineshaft.