Question

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

Answer 1

Answer: 0.321 seconds

Step-by-step explanation:

Let assume that air has a temperature of 20 °C. Sound speed at given temperature is
`343 (m)/(s)`. As sound spreads at constant speed, time can be easily found by using this formula:

`\Delta t = \Delta t_(far) - \Delta t_(near)`

`\Delta t = (x_(far)-x_(near))/(v_(sound,air))`

`\Delta{t} = (120 m - 10 m)/(343 (m)/(s) )\\\\\Delta {t} = 0.321 sec`