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Unformatted text preview: P123 Lecture 3 17 Sept 2010 Motion in 2 ‐ and 3 ‐ Dimensions REVIEW OF 1D MOTION ; 1 2 x x x ; t x av x v dt dx t x t x v lim dt dv t v t x x x a lim t v x x av a • For CONSTANT acceleration in 1D 2 2 1 at t v x x x o o 2 ; x o x x o x v v av t x x av v v v v x o x 2 2 • Free Fall: replace with a o x x 2 ) ( x a y g 1 ‐ Clicker! i Clicker!! 2 MOTION IN 2 AND 3 DIMENSIONS Recall: Displacement is a vector ! • Has magnitude and direction So are velocity and acceleration • Represent vector by arrow: A B C Here: (Same magnitude and direction) Do not need to lie on top of each other A B Furthermore: (Same Magnitude Opposite Direction A C B (Same Magnitude, Opposite Direction) Notation: = Magnitude of vector   A A Write: = A NOTE : For vectors above:   A 3   = B = A and   = C = A ! (  sign indicates direction) B C VECTOR ALGEBRA Given: What is ? B A A B Consider displacement, first by then by : B A A B B Net displacement is R R B A A B R Geometrical addition by “ head to tail ” method. • Consider parallelogram: R R is the diagonal But we can also do B A R A R B • But we can also do: A B R A R 4 Vector addition is commutative: B A A B B ) ( B A B A • Subtraction: ? B A A B B...
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This note was uploaded on 03/14/2011 for the course P 123 taught by Professor Stevens during the Spring '11 term at Rust.
 Spring '11
 Stevens

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