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At its most basic level, a spacetime diagram is merely a time vs position graph, with the directions of the axes in a usual p-t graph exchanged; that is, the vertical axis refers to temporal and the horizontal axis to spatial coordinate values.
Date/Time Thumbnail Dimensions User Comment; current: 01:22, 25 February 2007: 496 × 504 (111 KB) Stannered {{Information |Description=Example of a en:velocity vs. time graph, and the relationship between velocity v, en:displacement s, and en:acceleration a. Traced in en:Inkscape from an original drawn in en:Microsoft Paint. |Source=[[:
Since the velocity of the object is the derivative of the position graph, the area under the line in the velocity vs. time graph is the displacement of the object. (Velocity is on the y-axis and time on the x-axis. Multiplying the velocity by the time, the time cancels out, and only displacement remains.)
Snap, [6] or jounce, [2] is the fourth derivative of the position vector with respect to time, or the rate of change of the jerk with respect to time. [4] Equivalently, it is the second derivative of acceleration or the third derivative of velocity, and is defined by any of the following equivalent expressions: = ȷ = = =.
It is the first time-integral of the displacement [3] [4] (i.e. absement is the area under a displacement vs. time graph), so the displacement is the rate of change (first time-derivative) of the absement. The dimension of absement is length multiplied by time.
Simple example of a physical science graph of two physical quantities. Date: 10 June 2007: Source: Self-created SVG verson of Image:ScientificGraphSpeedVsTime.jpeg, using en:Image:Netscape-navigator-usage-data.svg as a template. Both sources are in the public domain. Author: Urocyon: Permission (Reusing this file)
If the template has a separate documentation page (usually called "Template:template name/doc"), add [[Category:Graph, chart and plot templates]] to the <includeonly> section at the bottom of that page. Otherwise, add <noinclude>[[Category:Graph, chart and plot templates]]</noinclude>
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