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phys: add dashed line

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eggy 2020-09-30 13:05:15 -04:00
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@ -278,7 +278,7 @@ A **velocity-time graph** is similar to a position-time graph but replaces the p
<img src="/resources/images/velocity-time-graph.png" width=700>(Source: Kognity)</img> <img src="/resources/images/velocity-time-graph.png" width=700>(Source: Kognity)</img>
On a velocity-time graph, the slope represents that object's acceleration. If the slope is not linear, the object is not accelerating uniformly (accelerating at a constant rate) On a velocity-time graph, the slope represents that object's acceleration. If the slope is not linear, the object is not accelerating uniformly (accelerating at a constant rate).
The area below a velocity-time graph at a given time is equal to the displacement (change in position) at that time, since $ms^{-1}×s=m$. When finding the displacement of an object when it is accelerating, breaking up the graph into a rectangle and a triangle then adding their areas will give the displacement. The area below a velocity-time graph at a given time is equal to the displacement (change in position) at that time, since $ms^{-1}×s=m$. When finding the displacement of an object when it is accelerating, breaking up the graph into a rectangle and a triangle then adding their areas will give the displacement.
@ -288,6 +288,9 @@ 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. The area below an acceleration-time graph at a given time is equal to the velocity at that time.
!!! note
If there is any instantaneous jump on a position-, velocity-, or acceleration-time graph (which is impossible in reality but may be used to simplify matters), a dashed line must be used to connect the two sides to ensure that the line remains a function.
### Uniformly accelerated motion ### 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. **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.