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## Homework Statement

You are designing a firing range. The range will be 200 yards in length. You must build a backstop that is of sufficient height to contain the projectiles. There are .22 caliber long rifle ammo and .308 caliber center fire ammo used on the range. A shooter discharges a round at a 60 degree angle to the horizontal, but you don't know which of the ammo he used. Calculate how tall the backstop would be to keep the fired round from escaping.

The paperwork says I need to find:

- The range for each type of ammo fired at the angle,

calculations for the height of each bullet at the time it reaches the end of the range

## Homework Equations

Initial velocity of .22 caliber = 330 m/s

Initial velocity of .308 caliber = 860 m/s

## The Attempt at a Solution

I'm going to start off working with the .22 caliber bullet, and finding its range.

x = t * V * cosθ

60.96 meters (200 yards) = t * 330m/s * cos(60°)

Solving for t, I get ≈.369 seconds.

Then, I substitute the T value to try and find the range of the bullet.

x = .369 seconds * 330m/s * cos(60)

I get the range of the bullet to be 60.885 meters.

Can someone point me in the right direction to find the range of the bullet? I have a good feeling my way is drastically wrong.