PPT-Graphs of Motion: P-T, V-T, and A-T

September 910 2014 What do we already know about graphing motion We know how to draw and interpret position vs time PT graphs Straight lines Positive slope Negative slope Zero slope . Sometimes, two graphs have exactly the same form, in the sense that there is a one-to-one correspondence between their vertex sets that preserves edges. In such a case, we say that the two graphs are . Carla . Binucci. , Emilio Di Giacomo, . Walter Didimo, Fabrizio Montecchiani, Maurizio . Patrignani. , . Ioannis. G. . Tollis. Fan-planar drawings. Fan-planar drawings. Given a graph G, a . fan-planar drawing . Describing the motion of an object is occasionally hard to do with words. Sometimes . graphs. help make motion easier to picture and therefore understand.. Remember:. Motion. is a change in position measured by distance and time.. Masaru . Kamada. Tokyo . University of . Science. Graph Theory Conference. i. n honor of Yoshimi . Egawa. on the occasion his 60. th. birthday. September 10-14, 2013. In this talk, all graphs are finite, undirected and allowed multiple edges without loops.. Daniel A. Spielman. Yale University. AMS Josiah Willard Gibbs Lecture. January . 6. , 2016 . From Applied to Pure Mathematics. Algebraic and Spectral Graph Theory. . . Sparsification. :. a. pproximating graphs by graphs with fewer edges. Daniel A. Spielman. Yale University. AMS Josiah Willard Gibbs Lecture. January . 6. , 2016 . From Applied to Pure Mathematics. Algebraic and Spectral Graph Theory. . . Sparsification. :. a. pproximating graphs by graphs with fewer edges. Physics. How to interpret a . Position. vs. time Graph. Low on the graph. .. High on the graph. .. Slopes uphill.. Slopes downhill.. 0. x. t. Near. Far. Away. Toward. How to interpret a . Position. vs. time Graph. The vertical scale is too big or too small, or skips numbers, or doesn’t start at zero.. The graph isn’t labeled properly.. Data is left out.. But some real life misleading graphs go above and beyond the classic types. Some are intended to mislead, others are intended to shock. And in some cases, well-meaning individuals just got it all plain wrong. These are some of my favorite recent-history misleading graphs from real life.. Distance/Time. Distance. Distance. Distance. D. t. D. t. D. t. Gradient = . speed. Distance-Time graph. gradient = velocity. Graphs Representing Motion. Velocity-time graph. Gradient = acceleration. Area . Motion graphs are an important tool used to show relationships between position, speed and time.. It’s an easy way to see how speed or position change over time. Distance vs. Time Graph. Shows an object’s position at a given time.. Message Design. 8 February 2012. This Evening’s Agenda. Debrief on . Superbowl. Ads: Design elements. Good and Bad examples. Presentation: Charts and Graphs. Sidebar: . Economist . magazine (“newspaper”). Nature of science: . Observations: The ideas of motion are fundamental to many areas of physics, providing a link to the consideration of forces and their implication. The kinematic equations for uniform acceleration were developed through careful observations of the natural world.. the . process of moving . or . changing . places . or position. Anything you do while moving is motion.. Fact: Speed is a major type of Motion. Determining motion. In order to determine motion you must know direction and speed. transformations of these graphs. LO: SWBAT state the transformations of the sine and cosine. Graphs in words.. CO: SWBAT generate the graphs of the sine and cosine functions and explore various . transformations of these graphs. LO: SWBAT state the transformations of the sine and cosine.