a gun is fired at a distance of 24.3km away from man. he hears the sound after 27 second. find the speed of sound at which it travels.
distance / time
To find the speed of sound at which it travels, we need to use the formula:
Speed = Distance / Time
First, we need to calculate the distance that sound travels. We know that the gun is fired at a distance of 24.3 km away from the man.
Next, let's calculate the time it takes for the sound to reach the man, which is given as 27 seconds.
Now, we can apply the formula to find the speed of sound:
Speed = Distance / Time
Speed = 24.3 km / 27 s
To calculate the speed, we need to ensure that our units are consistent. Let's convert 24.3 km to meters, as the SI unit for distance is meters:
24.3 km = 24.3 × 1000 m = 24,300 m
Now we can substitute the values into the formula:
Speed = 24,300 m / 27 s
Dividing the distance by the time, we find:
Speed = 900 m/s
Therefore, the speed of sound at which it travels is 900 m/s.