lec03-203-12-2D-mot

lec03-203-12-2D-mot - 2-D a = constant motion t=0 v0 (v 0x...

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2 0 0x x t x = x + v t +a 2 x 0x x v = v +a t y 0y y 2 0 0y y t y = y + v t +a 2 22 x ox x o v - v = 2a (x-x ) y y o y o v - v = 2a (y -y ) 0x 0x x (v + v ) x = v t = t 2 0y y y (v + v ) y = v t = t 2 Most General Form ( actually rarely necessary ) 2-D a = constant motion xy a (a ,a ) constant 0 0x 0y v (v ,v ) 0 0 0 r (x ,y ) t = 0 3-0
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y 0y v = v -g t 2 0 0y t y = y + v t -g 2 0y y 0y (v + v ) (y - y ) = t = v t 2 y 22 y o o v - v = 2(-g) (y -y ) x 0x v = v 0 0x x = x + v t For special case (all objects projected near the surface of the earth) a x a = 0 y a = -g g +y 0 0x 0y v (v ,v ) 0 0x 0y r (r ,r ) t = 0 Initial conditions 3-0a
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.1 ball dropped ball projected v o • acceleration g in y direction constant velocity in x-dir • increasing displacement in = times (~ t 2 ) equal displacements in equal times y = -gt 2 /2 v y = -gt v x = v ox x = v ox t y-dir projected ball motion = dropped ball motion x-dir Begin with experiment 3-1 x y (0,0) http://paer.rutgers.edu/pt3/movies/simdrop.mov
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y 0y v = v -g t 2 0 0y t y = y + v t -g 2 0y y 0y (v + v ) (y - y ) = t = v t 2 y 22 y o o v - v = 2(-g) (y -y ) x 0x v = v 0 0x x = x + v t For special case (all objects projected near the surface of the earth) a x a = 0 y a = -g g +y 0 0x 0y v (v ,v ) 0 0x 0y r (r ,r ) t = 0 Initial conditions 3-2
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3-3
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lec03-203-12-2D-mot - 2-D a = constant motion t=0 v0 (v 0x...

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