# lec02 - Physics I Class 02 Two-Dimensional Motion Rev....

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02-1 Physics I Class 02 Two-Dimensional Motion Rev. 05-Jan-05 GB

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02-2 One-Dimensional Motion with Constant Acceleration - Review Basic Equations 1. ( 29 0 0 t t a v v - + = 2. 2 0 2 1 0 0 0 ) t t ( a ) t t ( v x x - + - + = Derived Equations 3. ) t t )( v v ( x x 0 0 2 1 0 - + + = 4. 2 0 2 1 0 0 ) t t ( a ) t t ( v x x - - - + = 5. ( 29 0 2 0 2 x x a 2 v v - + =
02-3 Simple Example of 2D Motion Throw a ball straight up (1D). Throw a ball across the room (2D).

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02-4 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 one-dimensional motion.
02-5 Two-Dimensional Equations Basic X Equations 1X. ( 29 0 x x , 0 x t t a v v - + = 2X. 2 0 x 2 1 0 x , 0 0 ) t t ( a ) t t ( v x x - + - + = Basic Y Equations 1Y. ( 29 0 y y , 0 y t t a v v - + = 2Y. 2 0 y 2 1 0 y , 0 0 ) t t ( a ) t t ( v y y - + - + =

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02-6 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: 0 a x = The acceleration in the Y direction is constant and directed down: 2 y s / m 8 . 9 a - =
02-7 Projectile Motion - Vx and Vy

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Problem Solving Strategy for Projectile Motion Make a table, see what you know and what you need to find. X
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## This note was uploaded on 04/07/2008 for the course PHYS 1200 taught by Professor Stoler during the Spring '06 term at Rensselaer Polytechnic Institute.

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lec02 - Physics I Class 02 Two-Dimensional Motion Rev....

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