From 3fa884b6015e594a30ac87749c65131310168761 Mon Sep 17 00:00:00 2001 From: eggy Date: Mon, 28 Sep 2020 13:24:50 -0400 Subject: [PATCH] phys: add acceleration-time graph --- docs/sph3u7.md | 16 +++++++--------- 1 file changed, 7 insertions(+), 9 deletions(-) diff --git a/docs/sph3u7.md b/docs/sph3u7.md index 4509f32..5065d9c 100644 --- a/docs/sph3u7.md +++ b/docs/sph3u7.md @@ -263,24 +263,22 @@ $s$ is commonly used in IB to represent displacement and $s_{0}$ represents the (Source: Kognity). -On a position-time or displacement-time graph: - - - The object is not moving if the slope is zero. - - The object is moving at a constant *velocity* if the slope is linear. - - The object is moving with constant acceleration if the slope increases exponentially. - - The object is moving with constant deceleration if the slope decreases exponentially. - - The gradient of the graph at any time is the object's *instantaneous velocity* at that exact time. +The slope of the line in a position-time graph represents that object's velocity. If the slope is not linear, the object is not moving uniformly (at a constant speed). A **velocity-time graph** is similar to a position-time graph but replaces the position on the vertical axis with an object's velocity instead. (Source: Kognity) -On a velocity-time graph, the object is moving with constant acceleration/deceleration if the slope is linear. +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 their resultant 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. (Source: Kognity) +An **acceleration-time graph** is similar to a velocity-time graph but replaces the velocity on the vertical axis with an object's acceleration instead. + +The area below an acceleration-time graph at a given time is equal to the velocity at that time. + ## 2.2 - Forces ## 2.3 - Work, energy, and power