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A person hears the echo of his own voice from a distant hill after 2 seconds. How far away is the person from the hill, if the speed of sound is 330m/s ? ​

Respuesta :

Answer: 330 m

Explanation:

The speed of sound [tex]V[/tex] is defined as the distance traveled by the sound wave [tex]d[/tex] in a especific time [tex]t[/tex]:  

[tex]V=\frac{d}{t}[/tex]  

Where:  

[tex]V=330 m/s[/tex] is the speed of sound  

[tex]t=\frac{2 s}{2}=1 s[/tex] is half the time the sound wave travels since the person speaks, the sound wave hits the hill and then returns to the person again  as an echo

[tex]d[/tex] is the distance between the person and the hill

So, we have to find [tex]d[/tex]:

[tex]d=Vt[/tex]

[tex]d=(330 m/s)(1 s)[/tex]

Finally:

[tex]d=330 m[/tex]

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