A stone is dropped into a deep well and is heard to hit the water 3.41 s after being dropped . determine the depth of the well how to solve
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Assuming 340 m/s for the speed of sound (which varies with temperature), depth is 52 meters.
The 3.41 seconds is the sum of two times.
1. time for the rock to fall, and that is
d = ½gt² or
t = √(2d/g)
2. time for the sound to return up the well, and that is
t = d/340
so the equation is
√(2d/9.8) + d/340 = 3.41
solve for d
answer = 52 m
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