Posted by tommy on Sunday, May 4, 2008 at 4:06pm.
g = acceleration = -9.8 m^s^2
z = height = zo - Vo t - (1/2)(9.8)t^2
z = final height = -128
zo = initial height = 0
Vo = starting velocity = 0
so
-128 = -4.9 t^2
t^2 = 128/4.9
t = 5.11 seconds
Since the sound still needs to travel back up the well, it will actually take longer than 5.11 seconds.
v=d/t
343=128/t
t=0.37
5.11+0.37=5.48 seconds.
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