A rifle is aimed directly at the bull's eye of a target 50m away. If the bullet speed is 350 m/s, how far below the bull's eye does the bullet strike the target?
the bullet travels for 1/7 second
in that time it falls 4.9*(1/49) = 0.1m
To find out how far below the bull's eye the bullet strikes the target, we first need to calculate the time it takes for the bullet to travel the 50m distance.
Using the formula: distance = speed × time, we can rearrange it to solve for time: time = distance / speed.
Given that the distance is 50m and the speed is 350 m/s, we can substitute the values into the formula: time = 50m / 350 m/s.
Calculating this, we find that the time it takes for the bullet to travel 50m is 0.143 seconds (rounded to three decimal places).
Now, since the bullet travels in a parabolic arc due to gravity, we need to calculate the distance the bullet falls vertically during this time. We can use the equation for vertical displacement: distance = 0.5 × acceleration × time^2.
The formula tells us that the acceleration due to gravity is approximately 9.8 m/s^2 and the time is 0.143 seconds.
Substituting these values, we get: distance = 0.5 × 9.8 m/s^2 × (0.143 s)^2.
Calculating this, we find that the bullet falls approximately 0.097 meters (or 9.7 cm) below the bull's eye on the target.