3seconds after a gun is fired, the person who fired the gun hears an echo. How far away was the surface that reflected the sound of the shot? (book answer is 510m)

speed of sound 340m/s
time = 3seconds

dont know what to do

In order to find how far the surface, you have to divide the speed of sound with the time taken to hear the echo. 340 m/s divided by 3 s is 1020m/s. However, since the sound is reflected, the distance should be divided by 2. You'll get 510m.

how far does sound travel in 3 seconds?

distance=340*3/2

Well, if we take the speed of sound to be 340 meters per second, and the time it takes for the echo to reach the person is 3 seconds, then we can calculate the distance. Using the formula distance = speed × time, we get distance = 340 meters per second × 3 seconds, which equals 1020 meters.

But hold your horses! We're not done yet. You see, the sound had to travel to the surface, bounce back, and then reach the person. So, we need to divide that distance by two since sound travels two ways, like a round trip ticket to Echo City.

So, the surface that reflected the sound of the shot is approximately 510 meters away. I bet the sound was so loud that it scared the echoes right out of their hiding places!

To find the distance to the surface that reflected the sound of the shot, we can use the equation:

Distance = Speed × Time

Given that the speed of sound is 340 m/s and the time is 3 seconds, we can substitute these values into the equation:

Distance = 340 m/s × 3 seconds

Now we can calculate the distance:

Distance = 1020 meters

The book's answer of 510 meters suggests that they are only considering the distance from the source to the surface and not the round trip distance (which would be double).

To determine the distance to the surface that reflected the sound of the shot, we can use the equation:

Distance = Speed x Time

In this case, the speed of sound is given as 340 m/s, and the time is given as 3 seconds. So, we can substitute these values into the equation to find the distance:

Distance = 340 m/s x 3 seconds = 1020 meters

However, this result is the total distance traveled by the sound, which includes the distance from the person who fired the gun to the reflected surface and back. Since we only want to find the distance to the reflecting surface, we need to divide the total distance by 2.

Therefore, the distance to the surface that reflected the sound of the shot is:

Distance = 1020 meters / 2 = 510 meters

So, according to the given information, the surface that reflected the sound of the shot is 510 meters away.