For a more accurate description of the arc, these are the real physics formulas to use.
These are the formula's you need:
Y=.5*g*t^2+VY*t+Y0
Where:
g=Acceleration from gravity (9.8m/s^2 or 32ft/s^2)
t=The Total Time in the air
VY=The initial Velocity in the Y direction (Take the muzzle velocity and multiply it by sin(angle) that it is fired from)
Y0=The initial height of the cannon (usually 0)
The X one is similar, but if you are going to leave out air resistance (makes life SOOOO much easier) it is much simpler:
X=VX*t+X0
Where:
VX=The X component of the velocity. This can be found by multiplying the muzzle velocity*cos(angle).
The formula for X is simpler because the acceleration (which is g in the first equation) is 0 (no force slowing it down).
Velocity at a point in the arc with:
V=a*t+V0
and
V^2=V0^+2*a*(D)
Where a=acceleration, D=the displacement, and V0=the component of the muzzle velocity.
Side Note:
The X and Y components can be re-combined into its actual value using:
V=SQRT(Vx^2+Vy^2)
Hope this helps!
Great Quote:
"Time...LINE??? Time isn't made out of lines...it is made out of circles. That is why clocks are round!" -Caboose
