From: Andrew Lorimer Date: Thu, 25 Jul 2019 23:38:48 +0000 (+1000) Subject: [spec] formatting of suvat table X-Git-Tag: yr12~81 X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/4264252e499af3548ca4311bd9e594a35cf9e42f?hp=dc57ae72c5ed404b1f69f7ce4bd5254be5706346 [spec] formatting of suvat table --- diff --git a/spec/spec-collated.tex b/spec/spec-collated.tex index e795713..0acbd24 100644 --- a/spec/spec-collated.tex +++ b/spec/spec-collated.tex @@ -1160,22 +1160,27 @@ \section{Kinematics \& Mechanics} \subsection*{Constant acceleration} - {\centering \begin{tabular}{ l r } % TODO need to fix centering here - \hline & no \\ \hline - $v=u+at$ & $x$ \\ - $s = {1 \over 2}(v+u)t$ & $a$ \\ - $s=ut+{1 \over 2}at^2$ & $v$ \\ - $s=vt-{1 \over 2}at^2$ & $u$ \\ - $v^2=u^2+2as$ & $t$ \\ \hline - \end{tabular}} - - \[ v_{\text{avg}} = \frac{\Delta\text{position}}{\Delta t} \] - \begin{align*} - \text{speed} &= |{\text{velocity}}| \\ - &= \sqrt{v_x^2 + v_y^2 + v_z^2} - \end{align*} - \textbf{Distance travelled between \(t=a \rightarrow t=b\):} - \[= \int^b_a \sqrt{\left(\frac{dx}{dt}\right)^2 + \left(\frac{dy}{dt}\right)^2} \cdot dt \] + + \begin{center} + \renewcommand{\arraystretch}{1} + \begin{tabular}{ l r } % TODO need to fix centering here + \hline & no \\ \hline + \(v=u+at\) & \(x\) \\ + \(v^2 = u^2+2as\) & \(t\) \\ + \(s = \frac{1}{2} (v+u)t\) & \(a\) \\ + \(s = ut + \frac{1}{2} at^2\) & \(v\) \\ + \(s = vt- \frac{1}{2} at^2\) & \(u\) \\ \hline + \end{tabular} + \end{center} + + \[ v_{\text{avg}} = \frac{\Delta\text{position}}{\Delta t} \] + \begin{align*} + \text{speed} &= |{\text{velocity}}| \\ + &= \sqrt{v_x^2 + v_y^2 + v_z^2} + \end{align*} + + \textbf{Distance travelled between \(t=a \rightarrow t=b\):} + \[= \int^b_a \sqrt{\left(\frac{dx}{dt}\right)^2 + \left(\frac{dy}{dt}\right)^2} \cdot dt \] \subsection*{Vector functions}