Final answer:
When developing a Danger Zone (SDZ) for firing small arms, machine guns, and shotguns at a fixed ground target, the area A will be the distance traveled by the projectile multiplied by the distance between the firing position and the target.
Step-by-step explanation:
A. When developing a Danger Zone (SDZ) for firing small arms, machine guns, and shotguns at a fixed ground target, the area A will equal the distance traveled by the projectile multiplied by the distance between the firing position and the target. In this case, since the target is 150.0 m away and the gun is sighted to hit targets at the same height that are 100.0 m away, the area A will be:
A = (150.0 m - 100.0 m) x (distance traveled by the projectile)
To calculate the distance traveled by the projectile, we need to consider the muzzle velocity, the angle of elevation, and the effect of gravity.
B. A larger muzzle velocity would affect this problem by increasing the range at which the gun is accurate. With a larger muzzle velocity, the bullet would travel farther and reach the target at a higher point. Additionally, air resistance would have a greater effect on a faster-moving projectile. This could cause the bullet to slow down more quickly and deviate from its intended trajectory.