Delta Sign Confusion: Solving Depth of Grand Canyon

AI Thread Summary
To determine the depth of the Grand Canyon based on the echo of Hans's yodel, the time taken for the sound to travel down and back is 5.20 seconds, with the speed of sound in air at 340.0 m/s. The total distance traveled by the sound is calculated as distance = speed × time, which results in a total distance of 1,768 meters. Since this distance includes the journey down and back, the depth of the canyon is half of this total, yielding a depth of 884 meters. The discussion highlights a misunderstanding of kinematic equations, emphasizing that sound behaves differently from falling objects. The correct approach focuses on using the constant speed of sound to find the canyon's depth.
ashley_bryant
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Homework Statement


Hans stands at the of the Grand Canyon and yodels down to the bottom. He hears his yodel echo back from the canyon floor 5.20s later. Assume that the speed of sound in air is 340.0m/s. How deep is the canyon at this location?

I made a chart.
Velocity Original = 340
Velocity Final= Unknown
Distance= x
Gravity = 9.81
Time = 5.20

The equation I'm using is
vf=vo+g(DELTA)t

I pretty much do the equation, I just need to know what I need to do for delta. (divide, mulitply, etc. I'm in Physics PRE-AP, Algebra, 9th grade. Advanced classes, blah.)


Homework Equations


Not sure what you mean?


The Attempt at a Solution


I plugged in the numbers:
vf= 340 + 9.81 (DELTA) 5.20

For delta, I used division. (VF-VO/G = T?)
I plugged in the numbers:
0-340/9.81
I got -34.65
This is probably wrong... >_<
 
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The equation you need is simply s=\frac{d}{t} . Sound is a pressure wave and doesn&amp;#039;t behave like a kinematic particle. Its speed is essentially constant.
 
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