A hunter aims directly at a target (on the same level) 85.0 m away. If the bullet leaves the gun at a speed of 188 m/s, by how much will it miss the target?
This duplicate post has already been answered in a separate thread
To determine how much the bullet will miss the target, we need to consider the horizontal motion of the bullet.
We can use the basic equation of motion, where the horizontal distance traveled by the bullet is given by:
distance = velocity × time
In this case, the bullet travels a distance of 85.0 m, and we need to find the time it takes for the bullet to reach the target. Since the vertical motion is not considered, there is no acceleration acting on the bullet in the horizontal direction.
Using the equation of motion, we can rearrange it to solve for time:
time = distance / velocity
Plugging in the values:
time = 85.0 m / 188 m/s = 0.452 s
Now that we know the time it takes for the bullet to reach the target, we can find out how much it will miss the target by finding the horizontal distance traveled by the bullet during this time.
miss distance = velocity × time
miss distance = 188 m/s × 0.452 s = 85.1 m
Therefore, the bullet will miss the target by 0.1 meters (or 10 centimeters).