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The first dancer in the line is 10 m from the speaker playing the music; the last dancer in the line is 120 m from the speaker. Approximately how much time elapses between when the sound reaches the nearest dancer and when it reaches the farthest dancer

Respuesta :

xero099

Answer: 0.321 seconds

Explanation:

Let assume that air has a temperature of 20 °C. Sound speed at given temperature is [tex]343 \frac{m}{s}[/tex]. As sound spreads at constant speed, time can be easily found by using this formula:

[tex]\Delta t = \Delta t_{far} - \Delta t_{near}[/tex]

[tex]\Delta t = \frac{x_{far}-x_{near}}{v_{sound,air}}[/tex]

[tex]\Delta{t} = \frac{120 m - 10 m}{343 \frac{m}{s} }\\\\\Delta {t} = 0.321 sec[/tex]

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