Distance Calculation of Sound Travelling in the Air
What is the total distance the sound traveled bouncing off the building and reaching the woman?
The sound travelled approximately 880 m downwards to reach the woman. After bouncing off the building, it took a total of approximately 5.067 seconds for the sound to reach the woman.
Calculate the time it takes for sound to travel 880 m downwards in 24°C weather.
The speed of sound in air varies with temperature. At 24°C, the speed of sound is approximately 343 m/s.
Part 2: Calculate the total time taken for the sound to reach the woman after bouncing off the building.
We are given that the woman hears the first bang 2.5 seconds before she hears the sound of the firework bouncing off the building.
Distance Calculation of Sound Travelling in the Air
The sound traveled approximately 880 m downwards to reach the woman. After bouncing off the building, it took a total of approximately 5.067 seconds for the sound to reach the woman.
Calculating Sound Distance and Time
Sound travels at a speed of approximately 343 m/s at 24°C. To calculate the time it takes for sound to travel 880 m downwards in this temperature, we can use the formula: Speed = Distance / Time.
By rearranging the formula, Time = Distance / Speed, and plugging in the values, we find that it takes approximately 2.567 seconds for the sound to travel 880 m downwards.
For the total time taken for the sound to reach the woman after bouncing off the building, we add the time it took for the first bang to reach the woman (2.5 seconds) to the time calculated in the first part. The total time taken for the sound to reach the woman after bouncing off the building is approximately 5.067 seconds.
By understanding the speed of sound and calculating the distance and time, we can determine the total time taken for sound to travel in the air and reach the intended destination.