diff --git a/docs/sph3u7.md b/docs/sph3u7.md index 20c7098..36c0417 100644 --- a/docs/sph3u7.md +++ b/docs/sph3u7.md @@ -278,7 +278,7 @@ A **velocity-time graph** is similar to a position-time graph but replaces the p (Source: Kognity) -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. @@ -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. +!!! 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** 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.