Using Calculus to Describe Projectile Behavior in Video Game Design

by Christopher Scannapieco

Submitted : Fall 2010

This report discusses a method by which calculus can be used to create complex behavior for a smart projectile in a video game or simulation. This is done by first defining the projectile curve as a programmable function with multiple inputs which are determined at run-time. Tolerance and aggressiveness for determining the ability to evade the projectile are then associated with the projectile's acceleration and the volume of space between the projectile and the target.

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