From 3b4ed63305a2ae6bdb8958550be1726e155694e7 Mon Sep 17 00:00:00 2001 From: eggy Date: Thu, 29 Apr 2021 16:07:06 -0400 Subject: [PATCH] math: add constant motion in 2d space vector application --- docs/mcv4u7.md | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/docs/mcv4u7.md b/docs/mcv4u7.md index 3f2f6e2..afe67bd 100644 --- a/docs/mcv4u7.md +++ b/docs/mcv4u7.md @@ -459,6 +459,11 @@ If two lines are not parallel and in two dimensions, they intersect. To solve fo In three dimensions, there is a final possibility should the lines not be parallel: the lines may be *skew*. To determine if the lines are skew, the x, y, and z variables of **two** parametric equations should be equated to their counterparts in the other vector as if they intersect. The resulting $t$ and $s$ from the first and second line respectively should be substituted into the third equation and an equality check performed. Should there not be a solution that fulfills the third equation, the lines are skew. Otherwise, they intersect. +### Applications of vector equations + +For an object moving at **constant velocity in 2D space**, where $\vec{s}$ is its displacement, $\vec{s}_0$ is its initial displacement at $t=0$, $t$ is the time elapsed, and $\vec{v}$ is its velocity: +$$\vec{s}=\vec{s}_0+t\vec{v}$$ + ## Resources - [IB Math Analysis and Approaches Syllabus](/resources/g11/ib-math-syllabus.pdf)