PPT-1.1 Motion and Motion Graphs

Kinematics Terminology Scalar vs Vector Scalar quantities that have only a size but no direction i e distance speed Vector quantities that have a size and direction ie displacement velocity. 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 . 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. 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. Unit 1 – Introduction to Physics. Vocabulary . Symbols equation graph. word equations variables x-axis. y-axis dependent variable tangent. Independent variable gradient. y-intercept x-intercept delta (. Graphs.  . Graphs . capture . much more detail than numerical summaries, so very useful for learning about data and communicating its features.. At the same time, graphical interpretation isn’t standard in the way that numerical summaries are, and our eyes can fool us.. 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 . Richard Peng. Georgia Tech. In collaboration with. Michael B. Cohen. Jon . Kelner. John Peebles. Aaron . Sidford. Adrian . Vladu. Anup. . B. Rao. Rasmus. . Kyng. Outline. Graphs and . Lx. = . b. G . Sinusoidal Graphs. Sinusoidal Graphs. Periodic Function. Graphs of sine and cosine functions.. Functions whose graphs have a repeating pattern.. Period. The horizontal length of each cycle in a periodic graph.. 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. Steep slope.. 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: . Department of Computer Science. A graph. Graphs. © Dept. CS, UPC. 2. Source: . Wikipedia. The . network graph formed by Wikipedia editors (edges) contributing to . different. Wikipedia . language versions (vertices) during one month in summer 2013. 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. Describing motion is occasionally difficult to do with words. Graphs can help simplify this description greatly. Position = Distance from a starting point. Velocity = rate of change in position. Acceleration = rate of change in velocity.