A girl drops a stone into a mineshaft 122.5m deep. how soon after she throws does she here the striking of the stone at the bottom of the shaft?
You need to clean up your post. Does she drop the stone or throw the stone.
To find out how soon she hears the striking of the stone at the bottom of the shaft, we need to calculate the time it takes for the sound to travel up from the bottom of the mineshaft to her ears.
The speed of sound varies depending on various factors like temperature, humidity, and altitude. However, assuming standard atmospheric conditions at room temperature, the speed of sound is approximately 343 meters per second.
Since the stone needs to travel down to the bottom of the mineshaft before it strikes, we can ignore the time it takes for the stone to fall and focus only on the time it takes for the sound to travel up.
To calculate the time it takes for the sound to travel up, we can use the formula:
Time = Distance / Speed
In this case, the distance is the depth of the mineshaft (122.5m) and the speed is the speed of sound (343 m/s).
Plugging in the values, we get:
Time = 122.5m / 343 m/s
Calculating this equation, we find that the time it takes for the sound to travel up from the bottom of the mineshaft is approximately 0.357s (rounded to three decimal places).
Therefore, the girl would hear the striking of the stone at the bottom of the shaft approximately 0.357 seconds after she drops it.