a gun is fired from a distance of 1:2 km from a hill. The echo of sound is heard after 7:1seconds at same place. Calculate the velocity of bullet fired.
To calculate the velocity of the bullet fired, we can use the formula:
Velocity = Distance / Time
First, let's calculate the total distance traveled by the sound. Since the sound travels to the hill and then back to the same place, the total distance traveled is twice the distance from the gun to the hill.
Distance traveled by sound = 2 * (1.2 km) = 2.4 km
Now, let's calculate the time it took for the sound to travel this distance. We know that the time for the echo to be heard is given as 7.1 seconds.
Time = 7.1 seconds
Now, we can calculate the velocity using the formula:
Velocity = Distance / Time
Velocity = 2.4 km / 7.1 seconds
To get the velocity in m/s, we need to convert kilometers to meters and divide the time in seconds:
Velocity = (2.4 km * 1000 m/km) / 7.1 seconds
= 2400 m / 7.1 seconds
≈ 338.03 m/s
Therefore, the velocity of the bullet fired is approximately 338.03 m/s.