(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A cowboy stands on horizontal ground between two paral-

lel vertical cliffs. He is not midway between the cliffs. He

fires a shot and hears its echoes. The second echo arrives

1.92 s after the first and 1.47 s before the third. Consider

only the sound traveling parallel to the ground and reflect-

ing from the cliffs. Take the speed of sound as 340 m/s.

2. Relevant equations

(a) What is the distance between the cliffs? (b) What If? If

he can hear a fourth echo, how long after the third echo

does it arrive?

3. The attempt at a solution

I aid the first echo happens when the sound travels a distance = 2X_{1}where X_{1}is the distance between the near cliff

and the second echo happens at 2X_{2}and X_{2}is the distance between the source of the sound and the far cliff

So

V=[tex]\frac{X}{T}[/tex] >> V=[tex]\frac{ 2X_{1}}{ T }[/tex] >>> eq1

V=[tex]\frac{ 2X_{2}}{ 1.92T }[/tex] >>> eq2

divide 1 over2

so I get X_{2}=1.9 X_{1}

Is it correct ? if that is correct so what about the third echo when it happens ?

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# Homework Help: Determine distance by echo

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