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Unformatted text preview: Today: Objects in free fall. The vector description of motion. Relative Motion. Physics 2A Olga Dudko UCSD Physics Lecture 3 Superman #204 (vol. 2, April 2004) by Jim Lee and Scott Williams Objects in free fall x Objects in free fall = a t m a x h e i g h t v o = ?? v 2 = v 2 + 2 a Δ x Δ x = v t + 1 2 at 2 Δ x = 1 2 ( v + v ) t v = v + at v 2 = v 2 + 2 a Δ x = v 2 ¡ 2 a Δ x v = ¡ 2 a Δ x => => v = ¡ 2 ( ¡ 9 . 80 m s 2 )( 201 m ) = 62 . 8 m s • This is the initial velocity that Superman needs to attain maximum height. • Note: even though acceleration a < 0, the constant g is always >0. Motion in more than one dimension Vectors ? ? time, mass, energy… Vector notations • When handwriting  an arrow over it: • Printed  boldface type: • The magnitude of the vector  in italics or with the vector in the middle of absolute value lines: A A A A A Length of the arrow = magnitude of the vector quantity Orientation of the arrow = vector’s direction θ Adding vectors • When adding two vectors: make sure you take their directions into account; the units must be the same. • Perform the addition geometrically or algebraically. • Geometrically: vectors are placed headtotail: (resultant) A B B A + A B Adding multiple vectors • Vector addition is commutative: • When adding multiple vectors, just keep repeating the process until you have included all of the vectors....
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 Spring '05
 wurthmeir
 Physics, Acceleration, Velocity, ax

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