I must find the depth of the well. (Waves)

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Homework Help Overview

The problem involves determining the depth of a well based on the time it takes for a stone to be dropped and for the splash sound to be heard. The context is within the subject area of waves and motion under gravity.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the depth using the speed of sound and the total time of 3 seconds, but questions arise regarding the time taken for the stone to fall. Some participants suggest considering the falling stone's velocity and the time it takes to reach the water.

Discussion Status

The discussion is ongoing, with participants exploring the relationship between the time of the stone's fall and the time for the sound to travel back up the well. Guidance has been offered regarding the use of formulas for constant acceleration, but no consensus has been reached on the correct approach yet.

Contextual Notes

There is a need to account for the time it takes for the stone to fall separately from the time it takes for the sound to travel back up, which has not been fully resolved in the discussion.

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Homework Statement


A stone is dropped into a well. The splash is heard 3 seconds later. What is the depth of the well?


Homework Equations


the change in t= change in length/ velocity of sound


The Attempt at a Solution


V= 343 m/s which is the speed of sound

Ok I solved for depth. I made L=d. Then my equation looked like this. D= t * v

D= (3s) * 343 m/s = 1029 meters

The answer is 41 meters if you round off. I've seen solutions to this problem, but I need a walkthrough as to how to do it because I don't understand how the experts on cramster solved this problem.
 
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You need to also consider how long it takes the falling stone to reach the water.

Hint: the stone does not travel 343 m/s.
 
Ok so the time it takes the stone to fall is T. Shouldn't the time be close to that of the splash. So how do I find out the stone's Velocity.
 

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