User blog:GreyFang82/Carnival of Enigmatic Folk: Dodging Sound & Cannonballs

Simple stuff:

(Distance the character moved in meters) x (Speed of projectile in meters/s) / (Distance the projectile was away from the character when he/she started to move in meters)

Projectiles in question

Sound: 343 m/s

Cannonballs: 381 to 518 m/s

The main weapons the three characters use are: A Baseball Bat, A Pocket Knife, and a Sledgehammer

Meaning they have to be within or near this distance to land attacks against their foes. Taking the longest distance to make the calculation easier, Sledgehammers can be 1 meters long so let's assume it's that distance for combat.

Cannonball
Since these cannonballs are able to destroy trees and are shown as huge, we are gonna assume a 42 lb cannonball which according to this website has a Diameter of 6.56 inches. So in theory one only needs to move 7 inches to completely dodge a cannonball. 7 inches = 0.1778 meters.

(0.1778) x (381) / (1) = 67.7418 m/s or Subsonic

(0.1778) x (518) / (1) = 92.1004 m/s or Subsonic once again.

These seem like anti-feats as they are done by one of the final bosses.

Sound
Now the question is what is the distance the characters move to dodge the attack? Well since sound stretches out as it comes from a point, the only way to get out of the way would be to move so that they are not directly in front of the source. In other words, they would need to move to the side of the opponent before the sound reaches them.

Assuming 1 meter away is our distance this would mean we need to make a circle with 1 meter being it's radius. We need to find the circumference. Our formula is C = 2 x π x r

2 x π x 1 m = 6.28318531 meters for our circumfrence

Since they would be right in front fo the lady they need to move at least 90 degrees in to the left or right. 90 degrees is 1/4th of a circle meaning it's 6.28318531 / 4 = 1.57079633 meters

(1.57079633) x (343) / (1) = 538.783141 m/s or Mach 1.570796329446 or Supersonic Reactions

This is done by a mid-game boss, so it should scale to mid-game players and Late Game Bosses.