From: Andrew Lorimer Date: Thu, 25 Jul 2019 12:21:56 +0000 (+1000) Subject: [spec] minor corrections X-Git-Tag: yr12~82 X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/dc57ae72c5ed404b1f69f7ce4bd5254be5706346 [spec] minor corrections --- diff --git a/spec/spec-collated.pdf b/spec/spec-collated.pdf index 4c80f9f..15ea285 100644 Binary files a/spec/spec-collated.pdf and b/spec/spec-collated.pdf differ diff --git a/spec/spec-collated.tex b/spec/spec-collated.tex index 89d37b5..e795713 100644 --- a/spec/spec-collated.tex +++ b/spec/spec-collated.tex @@ -1172,9 +1172,9 @@ \[ v_{\text{avg}} = \frac{\Delta\text{position}}{\Delta t} \] \begin{align*} \text{speed} &= |{\text{velocity}}| \\ - &= \sqrt{v_x(t)^2 + v_y(t)^2 + v_z(t)^2} \tag{for vector \(v\)} + &= \sqrt{v_x^2 + v_y^2 + v_z^2} \end{align*} - \textbf{Distance travelled between\(t=a \rightarrow t=b\):} + \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}