Transcribed Image Text: 91. Depth of a Well One method for determining the depth of a well is to drop a stone into it and

Transcribed Image Text: 91. Depth of a Well One method for determining the depth of
a well is to drop a stone into it and then measure the time it
takes until the splash is heard. If d is the depth of the well (in
feet) and t, the time (in seconds) it takes for the stone to fall,
then d = 16t, so t = Vd!4. Now if t2 is the time it takes for
the sound to travel back up, then d = 1090t2 because the speed
of sound is 1090 ft/s. So t2 = d/1090. Thus the total time
elapsed between dropping the stone and hearing the splash is
Va
d
4
1090
How deep is the well if this total time is 3 s? (See the follow-
ing figure.)
Time
Time
sound
rises:
stone
falls:
va
4
1090

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