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  2. Motion graphs and derivatives - Wikipedia

    en.wikipedia.org/wiki/Motion_graphs_and_derivatives

    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.)

  3. Spacetime diagram - Wikipedia

    en.wikipedia.org/wiki/Spacetime_diagram

    As can be seen from Fig 6-2 of a Minkowski diagram in a non-inertial reference frame, the object once dropped, gains speed, reaches a maximum, and then sees its speed decrease and asymptotically cancel on the horizon where its proper time freezes at . The velocity is measured by an observer at rest in the accelerated rocket.

  4. File:ScientificGraphSpeedVsTime.svg - Wikipedia

    en.wikipedia.org/wiki/File:ScientificGraphSpeed...

    Date/Time Thumbnail Dimensions User Comment; current: 07:10, 10 June 2007: 410 × 300 (6 KB) Urocyon~commonswiki {{Information |Description=Simple example of a physical science graph of two physical quantities. |Source=Self-created SVG verson of Image:ScientificGraphSpeedVsTime.jpeg, using [[en::Image:Netscape-navigator-usage-data.svg]] as a ...

  5. List of graph theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_graph_theory_topics

    This is a list of graph theory topics, by Wikipedia page. See glossary of graph theory for basic terminology. Examples and types of graphs. Amalgamation;

  6. Circular motion - Wikipedia

    en.wikipedia.org/wiki/Circular_motion

    Because speed is constant, the velocity vectors on the right sweep out a circle as time advances. For a swept angle dθ = ω dt the change in v is a vector at right angles to v and of magnitude v dθ , which in turn means that the magnitude of the acceleration is given by a c = v d θ d t = v ω = v 2 r {\displaystyle a_{c}=v{\frac {d\theta ...

  7. Mean speed theorem - Wikipedia

    en.wikipedia.org/wiki/Mean_speed_theorem

    The mean speed theorem, also known as the Merton rule of uniform acceleration, [1] was discovered in the 14th century by the Oxford Calculators of Merton College, and was proved by Nicole Oresme. It states that a uniformly accelerated body (starting from rest, i.e. zero initial velocity) travels the same distance as a body with uniform speed ...

  8. Perfect graph - Wikipedia

    en.wikipedia.org/wiki/Perfect_graph

    The graph of the 3-3 duoprism (the line graph of ,) is perfect. Here it is colored with three colors, with one of its 3-vertex maximum cliques highlighted. In graph theory, a perfect graph is a graph in which the chromatic number equals the size of the maximum clique, both in the graph itself and in every induced subgraph. In all graphs, the ...

  9. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.