1) You drop a pebble into a well. 10 seconds later, you hear the sound of...

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1) You drop a pebble into a well. 10 seconds later, you hear thesound of the pebble hitting the water. How deep is the well? Forwhat part of the 10 seconds was the pebble falling? How long did ittake the sound to travel back up the well? What assumptions did youmake in solving the problem?

2) Suppose another well is just the depth at which the time ittakes your pebble to hit the water is the same as the time it takesthe sound of hitting the water to return to the top. How deep isthe well?

3) Suppose another well is just the depth at which the time ittakes your pebble to hit bottom is 15 times greater than the timeit takes the sound of it hitting return to the top? How deep is thewell?

I need a differential equations approach to the problemplease.

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