Ballistics Ballistics 2006-07-25 16:23:33 2006-07-25 16:23:33 Definition % this is the default PlanetPhysics preamble. as your knowledge % of TeX increases, you will probably want to edit this, but % it should be fine as is for beginners. % almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts} % used for TeXing text within eps files %\usepackage{psfrag} % need this for including graphics (\includegraphics) %\usepackage{graphicx} % for neatly defining theorems and propositions %\usepackage{amsthm} % making logically defined graphics %\usepackage{xypic} % there are many more packages, add them here as you need them % define commands here work in progress Ballistics is the study of the dynamics and kinematics of a projected object. for a start let's define a horizontal axis $x$ and a vertical axis $y$. Assuming that the drag force is insignificant, the sum of forces along the axis $\Sigma F_x$ equals zero, and so the acceleration along the axis $a_x$ is also insignificant and so the velocity along the the axis $v_x$ is constant and equal to the projection velocity $V_i,x$ \[\Sigma F_x=0 \rightarrow a_x=0 \rightarrow V_x=V_i,x \]