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A rifle that shoots bullets at 470 m/s is to be aimed add target 41.2 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?

Answer :

Final answer:

To hit dead center, the rifle barrel must be pointed approximately 0.0382 m (or 3.82 cm) above the target.

Explanation:

To determine how high above the target the rifle barrel must be pointed, we can use the kinematic equations of projectile motion. The key is to realize that the time it takes for the bullet to travel horizontally is the same as the time it takes to fall vertically. Using the equation d = vâ‚€t + 0.5gt², we can solve for the vertical displacement.

Given that the target is 41.2 m away and the bullet's velocity is 470 m/s, we can calculate the time of flight: t = d/vâ‚€ = 41.2/470 = 0.0877 s

Using this time, we can find the vertical displacement: y = 0.5gt² = 0.5 * 9.8 * (0.0877)² = 0.0382 m

Therefore, the rifle barrel must be pointed approximately 0.0382 m (or 3.82 cm) above the target to hit dead center.

Learn more about Projectile motion here:

https://brainly.com/question/29545516

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