An observer stands 43.0 m behind a marksmen practicing at a rifle range. The marksman fires the rifle horizontally which gives the speed of the bullet to be 939 m/s. How far does each bullet travel before the observer hears the report of the rifle? Assume that the bullet encounter no obstacles during this interval, and ignore both air resistance and vertical component of the bullet's motion. The speed of sound in air is 343 m/s.
The marksman hears the gun in his ear immediately, the observer behind him hears it in 43/vsound seconds.
The bullet travels 939*t meters.
To determine how far the bullet travels before the observer hears the report of the rifle, we need to calculate the time it takes for the sound to reach the observer.
First, we can calculate the time it takes for the bullet to reach the observer using the formula:
time = distance / speed
The distance is the 43.0 m, and the speed is given as 939 m/s. Plugging in these values:
time = 43.0 m / 939 m/s = 0.0458 s
Next, we can calculate the distance the sound travels during this time. The speed of sound in air is given as 343 m/s, so we can use the formula:
distance = speed * time
Plugging in the values:
distance = 343 m/s * 0.0458 s = 15.716 m
Therefore, the bullet travels a distance of approximately 15.716 m before the observer hears the report of the rifle.