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Unformatted text preview: 021 Physics I Class 02 TwoDimensional Motion Rev. 05Jan05 GB 022 OneDimensional Motion with Constant Acceleration Review Basic Equations 1. ( 29 t t a v v + = 2. 2 2 1 ) t t ( a ) t t ( v x x + + = Derived Equations 3. ) t t )( v v ( x x 2 1 + + = 4. 2 2 1 ) t t ( a ) t t ( v x x + = 5. ( 29 2 2 x x a 2 v v + = 023 Simple Example of 2D Motion Throw a ball straight up (1D). Throw a ball across the room (2D). 024 Motion in Two Dimensions Motion in the X (horizontal) direction is independent of motion in the Y (vertical) direction. (Neglecting air resistance.) Strategy: Break the problem into two parts, one for the X motion and one for the Y motion. Handle each part like onedimensional motion. 025 TwoDimensional Equations Basic X Equations 1X. ( 29 x x , x t t a v v + = 2X. 2 x 2 1 x , ) t t ( a ) t t ( v x x + + = Basic Y Equations 1Y. ( 29 y y , y t t a v v + = 2Y. 2 y 2 1 y , ) t t ( a ) t t ( v y y + + = 026 A Special Case of 2D Motion  Projectile Motion Y X By usual convention, we choose X to the right and Y up when we study projectile motion. Throwing a baseball and shooting a cannon are examples of projectile motion. We neglect air resistance and assume that the only force is gravity (down). The acceleration in the X direction is zero: a x = The acceleration in the Y direction is constant and directed down: 2 y s / m 8 . 9 a = 027 Projectile Motion  Vx and Vy 028 Problem Solving Strategy for Projectile Motion Make a table, see what you know and what you need to find.Make a table, see what you know and what you need to find....
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 Fall '07
 Yamaguchi
 Acceleration

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