Question

sound travels at a rate of about 1.1*10^3 feet per second. Suppose a mining company detonates a bundle of dynamite at a distance of 625 feet from a canyon wall. At the time of a detonation the miners sit safely at a distance of 2,600 feet from the dynamite. How long after detonation will the miners hear the echo of the blast off the canyon wall? Round to the nearest tenth if necessary.

Answer 1

The miners will hear the echo of the blast approximately 2.9 seconds after detonation.

Step-by-step explanation:

To find the time it takes for the miners to hear the echo of the blast off the canyon wall, we need to calculate the time it takes for the sound to travel from the dynamite to the canyon wall and then back to the miners.

The total distance traveled by the sound is the sum of the distance from the dynamite to the canyon wall (625 feet) and the distance from the canyon wall to the miners (2600 feet), which equals 3225 feet.

Using the given speed of sound (1.1*10^3 feet per second), we can divide the total distance by the speed of sound to find the time it takes for the sound to travel:

Time = Distance / Speed = 3225 feet / (1.1*10^3 feet per second) = 2.932 seconds

Therefore, the miners will hear the echo of the blast approximately 2.9 seconds after detonation.