PPT-Equations of 1-D Motion

Equations for uniform acceleration Where s is displacement m v is the final velocity m s 1 u is the initial velocity m s 1 a is the acceleration m s 2 . e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations Outline. Time Derivatives & Vector Notation. Differential Equations of Continuity. Momentum Transfer Equations. Introduction. FLUID. In order to calculate forces exerted by a moving fluid as well as the consequent transport effects, the dynamics of flow must be described mathematically . I can identify the products and reactants in a chemical reaction.. I can state the law of conservation of matter.. I can determine the number of each atom in a compound based on subscripts and coefficients.. 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. Kinematic Equations. Measuring Techniques. Assess. . Statements . 2.1.1 – . 2.1.5, . 2.1.7 – . 2.1.10. Due on Wednesday, . Oct. 29. Uniform Accelerated Motion. Acceleration:. . The rate at which an object’s velocity changes. By: Morgan Shade . Absolute Value. The number’s distance away from zero. Can’t be a negative number. Examples:. │3│= 3. │-10│= 10. │0│= 0. Absolute Value Equations. Isolate the Absolute Value. Problem 1. There are 25 toys in a playground. . The toys are either bicycles (2 wheels) or tricycles (3 wheels). . In total in the playground there are 61 wheels. . How many bicycles are in the playground?. Given a set of corresponding points in two or more images, compute the camera parameters and the 3D point coordinates. Camera 1. Camera 2. Camera 3. R. 1. ,t. 1. R. 2. ,t. 2. R. 3. ,t. 3. ?. ?. ?. Slide credit: Noah . 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.. Sub units. Reference Frames and Displacement. Average Velocity. Instantaneous Velocity. Acceleration. Motion at Constant Acceleration. Solving Problems. Falling Objects. Graphical Analysis of Linear Motion. . Motion. Speed & Velocity. Acceleration. Newton’s First Law. Newton’s First Law of Motion. An object at rest will remain at rest and an object in motion will continue moving at a constant velocity unless acted upon by a net force.. 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. Net ionic equations are useful in that they show only those chemical species directly . participating in . a chemical . reaction. The keys to being . able to . write net ionic equations are the ability to recognize monatomic and polyatomic ions, . 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.