A rifle that shoots bullets at 460 m/s is to be aimed at a traget 45.7 m away. If the center of the target is level with the rifle, how high above the target must the rifle barrel be pointed so that the bullet hits dead center?

Explanation

To solve the problem of how high above the target a rifle must be aimed to hit the center of the target, we will use the principles of projectile motion. Here’s a step-by-step solution:

### Step 1: Understand the Problem
The rifle shoots bullets at a speed of 460 m/s, and the target is 45.7 m away. The bullet will follow a parabolic trajectory due to gravity, so we need to find the angle at which to aim the rifle to ensure the bullet hits the target.

### Step 2: Use the Range Formula
The range \( R \) of a projectile is given by the formula:
\[
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