To calculate the amount of sound traveling in air in 2.5 seconds, we need to determine the distance traveled by the sound wave.
The speed of sound in air is approximately 343 meters per second at room temperature and standard atmospheric pressure. This value may vary depending on factors such as temperature, humidity, and altitude.
The formula to calculate the speed of a wave is given by:
Speed = Frequency × Wavelength
In this case, we know the frequency (f = 280 Hz) and the wavelength (λ = 1.2 m). We can rearrange the formula to solve for the speed:
Speed = 280 Hz × 1.2 m Speed = 336 m/s
Now, we can calculate the distance traveled by the sound wave in 2.5 seconds using the formula:
Distance = Speed × Time
Distance = 336 m/s × 2.5 s Distance = 840 meters
Therefore, the amount of sound traveling in air in 2.5 seconds, with a frequency of 280 Hz and a wavelength of 1.2 m, would be approximately 840 meters.