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phys: add acceleration

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eggy 2020-09-29 21:08:02 -04:00
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docs/sph3u7.md
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@ -279,6 +279,27 @@ 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.
### 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