The distance to the surface of the water in a well can sometimes be found by dropping
Question:
The distance to the surface of the water in a well can sometimes be found by dropping an object into the well and measuring the time elapsed until a sound is heard. If t1 is the time (measured in seconds) that it takes for the object to strike the water, then t1 will obey the equation s = 16t12, where s is the distance (measured in feet). It follows that
where s is the distance (measured in feet). It follows that
Suppose that t2 is the time that it takes for the sound of the impact to reach your ears. Because sound travels at a speed of approximately 1100 feet per second, the time t2 for the sound to travel the
distance s will be
See the illustration. Now t1 + t2 is the total time that elapses from the moment that the object is dropped to the moment that a sound is heard. We have the equation
Find the distance to the water’s surface if the total time elapsed from dropping a rock to hearing it hit water is 2.86 seconds.
Transcribed Image Text:
s = 16t2,
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