Thank you for visiting A rifle that shoots bullets at 450 m s is aimed at a target 49 2 m away If the center of the target is. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The rifle barrel must be pointed approximately 0.0581 meters or 5.81 centimeters above the target to hit dead center.
To determine how high above the target the rifle barrel must be pointed, we can use the principles of projectile motion. We need to find the vertical displacement or the height above the target that the bullet must travel.
Let's break down the problem and solve it step by step:
First, we can consider the horizontal motion of the bullet. Since there is no acceleration horizontally, the time it takes for the bullet to travel 49.2 m horizontally is given by the formula:
time = distance / velocity
time = 49.2 m / 450 m/s
time ≈ 0.1093 s
Now, let's consider the vertical motion of the bullet. We can use the formula for vertical displacement in projectile motion:
displacement = initial vertical velocity * time + (1/2) * acceleration * [tex]time^2[/tex]
Since the bullet starts at the same height as the target and we want it to hit dead center, the initial vertical velocity is zero.
displacement = 0 * time + (1/2) * acceleration *[tex]time^2[/tex]
The only force acting on the bullet vertically is gravity, which causes it to accelerate downward. The acceleration due to gravity is approximately 9.8 m/[tex]s^2[/tex].
[tex]displacement = (1/2) * 9.8 m/s^2 * (0.1093 s)^2[/tex]
displacement ≈ 0.0581 m
To know more about projectile motion refer here
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