~~NOTOC~~
<=[[4rpl:start| Index]] \\
<=[[4rpl:start#math_utility| Math Utility]]


====== BallisticArcPos ======
BallisticArcPos(<-start <-velocity <-gravity <-time) ->pos

===== Description =====
 Calculates the position of a projectile after a period of time factoring in start position, velocity, and gravity.
 Useful to use in conjunction with the [[4rpl:commands:ballisticarclateral|BallisticArcLateral]] function.
 This function uses the equation:  start + time*velocity - [0, 0.5*gravity*time*time, 0]

 - start: Vector location that projectile will fire from.\\
 - velocity: The vector velocity (x,y,z) of the projectile.\\
 - gravity: the acceleration due to gravity (in the y direction)\\
 - time: The elapsed time.

 Returns the vector position of the projectile

===== Examples =====
<code 4rpl>
V3(10 1 10) ->start
V3(50 5 40) ->target

BallisticArcLateral(<-start 0.5 <-target 30) ->travelTime ->gravity ->fireVel
BallisticArcPos(<-start <-fireVel <-gravity 2) ->pos
</code>
<=[[4rpl:start| Index]]