User:Bvalin

Physics in DnD

These equations are straight out of my AP physics class most of these equations use the metric system please excuse and misspellings english is not my forte

 D=(Vi*t)+(.5*a*t^2)              D = distance                      m = mass
 D=(Vf*t)-(2*a*t^2)              Vf = velocity final               ΔV = the change in velocity
 D=.5(Vf+Vi)*t                   Vi = velocity initial             Δt = the change in time
 Vf=Vi+(a*t)                      a = acceleration
 Vf^2=Vi^2+(.5*a*d)               t = time
 F=ma                             F = force 
 a=(ΔV/Δt)

Falling

starting with no speed Acceleration due to gravity = 32 feet/second

 round 1                                                                          Force of hitting the ground
 Distance travelled                Speed                                          (assuming it takes .25 seconds to come to rest and the average 
                                                                                   medium character is 160lbs or 70 kilograms )
 D=(Vi*t)+(.5*a*t^2)               Vf=Vi+(a*t)                                    F=ma                a=(ΔV/Δt)
 D=(0*6)+(.5*32*6^2)               Vf=0+(32*6)                                    F=70*768            a=192/.25
 D=(0)+(576)                       Vf= 192 feet/second = 130.9 miles/hour         F=53,760 newtons     a=768 meters/second^2
 D=576 feet                                                                         1 newton = .22481 pounds of force
                                                                                53,760/.22481 = 239,135.27 pounds of force
 round 2
 D=(192*6)+(.5*32*6^2)             Vf=192+(32*6)
 D=(1152)+(576)                    Vf= 384 feet/second = 261.8 mph
 D=1,728 feet

Note: the average human dies after a 50-60 foot fall

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