You are standing next to an old well. You want to know how far down the surface of the water is (you are very thirsty), so you hold a rock above the well and drop it. You measure the amount of time between when you release the rock and when you year the splash produced when the stone hits the water at the bottom of the well to be T. You know that the speed of sound in air is vs and the acceleration due to gravity is g. Neglecting air resistance, find the depth of the well.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 55P: A man drops a rock into a well. (a) The man hears the sound of the splash 2.40 s after he releases...
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You are standing next to an old well. You want to know how far down the surface of the water is
(you are very thirsty), so you hold a rock above the well and drop it. You measure the amount of
time between when you release the rock and when you year the splash produced when the stone
hits the water at the bottom of the well to be T. You know that the speed of sound in air is vº
and the acceleration due to gravity is g. Neglecting air resistance, find the depth of the well.
Transcribed Image Text:You are standing next to an old well. You want to know how far down the surface of the water is (you are very thirsty), so you hold a rock above the well and drop it. You measure the amount of time between when you release the rock and when you year the splash produced when the stone hits the water at the bottom of the well to be T. You know that the speed of sound in air is vº and the acceleration due to gravity is g. Neglecting air resistance, find the depth of the well.
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