PPT-Chapter 2 Two-Dimensional Motion and Vectors

Vectors Shmectors Objectives 1 Distinguish between a scalar and a vector 2 Add and subtract vectors by using the graphical method 3 Multiply and divide vectors by scalars Vectors Schmectors. Which of these two balls strike the ground first? ________ 4. Compare the two diagrams - the vertical free-fall motion on the left and the two-dimensional freefall motion on the right. Describe t Now it starts to get more . interesting. (and don’t get freaked out by the equations and subscripts). Projectiles – What path do they follow?. http://www.us-inauguration-day-2009.com/human_cannonball.jpg. Which of these two balls strike the ground first? ________ 4. Compare the two diagrams - the vertical free-fall motion on the left and the two-dimensional freefall motion on the right. Describe t Matrices. Definition: A matrix is a rectangular array of numbers or symbolic elements. In many applications, the rows of a matrix will represent individuals cases (people, items, plants, animals,...) and columns will represent attributes or characteristics. University of Michigan. Physics Department. Mechanics and Sound . Intro . Labs. Two-Dimensional Collisions. You have now seen the laws of conservation of momentum and energy in action in one-dimensional collisions, and you have begun to explore rotational motion. Now it is time for you to apply these concepts to a two-dimensional situation.. If you related the position of the runner to the background in each frame taken in 1 second intervals, you would conclude that the student is in motion.. This series of images, taken at regular intervals, creates a motion diagram for the change in the student’s state of motion.. Vidhya Vijayakumar. Multimedia Processing Lab. MSEE, University of Texas @ Arlington. . vidhya.vijayakumar@mavs.uta.edu. Guided by Dr.K.R. Rao. If you related the position of the runner to the background in each frame taken in 1 second intervals, you would conclude that the student is in motion.. This series of images, taken at regular intervals, creates a motion diagram for the change in the student’s state of motion.. Brownian motion. Wiener processes. A process. A process is an event that evolved over time intending to achieve a goal. . Generally the time period is from 0 to T. . During this time, events may be happening at various points along the way that may have an effect on the eventual value of the process. . Chapter 3 pg. . 81-105. What do you think?. How are measurements such as mass and volume different from measurements such as velocity and acceleration?. How can you add two velocities that are in different directions?. 1. Changing Units. Speed of a car is 80 miles/hour. What is it in m/s. Multiply by 1 so units cancel and correct units are left. In units of m/s: {80 miles * (5280 feet/mile)*(1 m/3.28 feet)}/hour. properties, addition, components of vectors . When you see a vector, think components!. Multiplication of vectors will come in later chapters.. Vectors have . magnitude. and . direction. .. Chapter 3: Vectors. Mechanics – the study of how objects move and respond to external forces. Kinematics – study of motion with no concern for the cause. Motion. Perceiving motion is instinctive. —. . your . eyes pay more attention to moving objects . Homework for Chapter 2. Read Chapter 2. HW 2.A : pp. 57-59: 8,9,12,13,16,17,20,26,34,35,38,39.. HW 2.B: pp. 60-61: 46,47,48,50,52, 58,59,61. ,70,71,72-75,80.. Learning Objectives for Chapter 2. Students will understand the general relationships among position, velocity, and acceleration for the motion of a particle along a straight line so that given a graph of one of the kinematics quantities, position, velocity, or acceleration, as a function of time, they can:.