What time is required for sound to travel 5km if the temperature is 15°c?

Isn't the formula Vsound=330(1+.6*tempInCelcius)?

then time = distance/velocitySound ?

14.7m/s

14.m/s

14.7m/s

14.7

Not very but good

To determine the time required for sound to travel a certain distance, we need to know the speed of sound in air at that temperature. The speed of sound in air depends on temperature, humidity, and atmospheric pressure. However, for simplicity, we can use an approximation called the "standard atmospheric conditions," which assumes a temperature of 20°C and a speed of sound of 343 meters per second.

To calculate the time required for sound to travel a distance, we can use the formula:

Time = Distance / Speed

Given that the distance is 5 kilometers (5000 meters) and the speed of sound at 20°C is 343 meters per second, we can plug in the values to calculate the time:

Time = 5000 / 343 ≈ 14.58 seconds

However, in this case, the given temperature is 15°C, not the assumed 20°C. So, we need to take into account the temperature difference.

The speed of sound in air decreases with decreasing temperature. The relationship between temperature and the speed of sound is given by the formula:

Speed = 331.4 + (0.6 × Temperature)

Substituting the given temperature of 15°C into the formula:

Speed = 331.4 + (0.6 × 15) ≈ 339.4 meters per second

Now, we can calculate the time it takes for sound to travel 5 kilometers at this temperature:

Time = 5000 / 339.4 ≈ 14.73 seconds

Therefore, if the temperature is 15°C, it would take approximately 14.73 seconds for sound to travel a distance of 5 kilometers.