PPT-Motion Graphs

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. Anthony Bonato. Ryerson University. CanaDAM. 2011. Cop number of a graph. the . cop number of a graph. , written . c(G). , is an elusive graph parameter. few connections to other graph parameters. hard to compute. 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 . Network Science: Random Graphs . 2012. Prof. Albert-László Barabási. Dr. Baruch Barzel, Dr. Mauro Martino. RANDOM NETWORK MODEL. Network Science: Random Graphs . 2012. Erdös-Rényi model (1960). Isabelle Stanton, UC Berkeley. Gabriel . Kliot. , Microsoft Research XCG. Modern graph datasets are huge. The web graph had over a trillion links in 2011. Now?. . facebook. has “more than 901 million users with average degree 130”. 2-3. In addition to the histogram, the frequency polygon, and the . ogive. , several other types of graphs are often used in statistics. They are the bar graph, Pareto chart, time series graph, and pie chart. . Learning Goals:. Graphs of the Cosecant, Secant, and Cotangent Functions. Graph transformations . When you think about the . csc. , sec, and cot graphs what do you think about?. Graph of the Cosecant Function. Misleading Graphs. Good . graphs are extremely powerful tools for displaying large quantities . of complex . data; they help turn the realms of information available today . into knowledge. . But, unfortunately, some graphs deceive or mislead. This . 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. Instructions – using H7. Read through the . first . 4 . slides to understand how graphs can be used to misrepresent data, or at least try to mislead you.. On a new slide explain CLEARLY how the next . 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.. 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.. (. pg. 30-55). Do Now. Why is it important to describe and analyze motion. ?. How fast?. How far?. Slowing/Speeding?. Rest/Constant velocity. What . are some of the different types of motion. ?. Translational – motion along a straight line. September 9-10, 2014. What do we already know about graphing motion?. We know how to draw and interpret position vs time (P-T) graphs. Straight lines = . . Positive slope Negative slope: Zero slope: . 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.