From 548c14409172d59322f5a96435f4af3eea3bbd6a Mon Sep 17 00:00:00 2001 From: eggy Date: Tue, 29 Sep 2020 21:08:02 -0400 Subject: [PATCH] phys: add acceleration --- docs/sph3u7.md | 23 ++++++++++++++++++++++- 1 file changed, 22 insertions(+), 1 deletion(-) diff --git a/docs/sph3u7.md b/docs/sph3u7.md index 5065d9c..5f28f50 100644 --- a/docs/sph3u7.md +++ b/docs/sph3u7.md @@ -279,7 +279,28 @@ An **acceleration-time graph** is similar to a velocity-time graph but replaces The area below an acceleration-time graph at a given time is equal to the velocity at that time. -## 2.2 - Forces +### Uniformly accelerated motion + +**Uniformly accelerated motion** is the constant acceleration in a **straight line**, or the constant increase in velocity over equal time intervals. The five key $suvat$ variables can be used to represent the various information in uniformly accelerated motion. + + - $s=$ change in displacement during time interval $t$ (i.e., from $t=0$ to $t$) + - $u=$ initial velocity at time $t=0$ + - $v=$ final velocity at time $t$ + - $a=$ constant acceleration + - $t=$ time elapsed since $t=0$ + +By the formula of the gradient and the formula for the area underneath an acceleration time graph, the following formulas can be derived and are in the data booklet: + + - $s=ut + \frac{1}{2}at^2$ + - $v = u + at$ + - $s = \frac{1}{2}(u+v)t$ + - $v^2 = u^2 + 2as$ + +### Projectile motion + +**Projectile motion** is uniformly accelerated motion that does not leave the vertical plane (is two-dimensional). Note that the two directions (horizontal and vertical) that the projectile moves in are independent of one another. + +##2.2 - Forces ## 2.3 - Work, energy, and power