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  • 24-01-2020
  • Mathematics
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Karen claps her hand and hears the echo from a distant wall 0.113 s later. How far away is the wall? The speed of sound in air is 343 m/s

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pedrocarratore
pedrocarratore pedrocarratore
  • 24-01-2020

Answer:

19.3795 m

Step-by-step explanation:

If sound travels at 343 m/s and it took Karen 0.113 s to hear the echo from the wall, the distance travelled by the sound is:

[tex]D=343\frac{m}{s} *0.113\ s\\D= 38.759\ m[/tex]

Note that the distance calculated above is the distance travelled from Karen to the wall and then back from the wall to Karen. Therefore, the distance between Karen and the wall is:

[tex]d=\frac{38.759}{2}\\d=19.3795\ m[/tex]

The wall is 19.3795 m away from Karen.

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