Dropping a Stone: Calculating Time for a Stone to Hit the Bottom of a Mineshaft

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A girl drops a stone into a mineshaft 122.5 m deep. How soon after she drops the stone does she hear it hit the bottom?

What formula do I use?
 
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You are looking for the constant acceleration formulas. A quick search on google or wikipedia should provide them. Also don't forget about the period of time that sound would take to travel from the point of impact to the girl's ear. You can find the speed of sound with a google search too. =)
 
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To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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