lecture06

# lecture06 - 2 2 ) sin ( : ) ( 2 2 2 2 max 2 θ = = = = = =...

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Physics 131 Spring 2008 Dongping Zhong Lecture 6 (Friday, April 4 ) Projectile Motion Page 1

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OSU Physics Department PHY131 Projectile Motion x ) ( i v y ) ( j v θ 0 V v x-motion no acceleration y-motion at constant acceleration a y =-g=-9.8 m/s 2 , a x =0
OSU Physics Department PHY131 gt V V t g t V t a t V y t y V V V t V t V x t x V V V V y y yo x x x y x = = + + = = = = + = = = θ sin , 2 ) sin ( 2 ) ( cos , ) cos ( ) ( sin , cos 0 2 0 2 0 0 0 0 0 0 0 0 0 0 j gt V i V t V j t g t V i t V t r o v v v v v v ) sin ( cos ) ( ) 2 sin ( ) cos ( ) ( 0 0 2 0 + = + = 2 2 2 0 2 0 0 0 0 cos 2 tan ) cos ( 2 cos sin cos x V g x V x g V x V y V x t = = = This is a parabola ! y=Ax-Bx 2

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OSU Physics Department PHY131 Where is y=0? g V g V x V gx x V gx x y θ 2 sin sin cos 2 cos 2 cos sin ; 0 0 , cos 2 tan 0 2 0 2 0 2 2 2 0 1 2 2 0 2 = = = = = = ) ( 4 0 2 2 sin max 2 0 2 0 1 2 R g V range For range For g V x x range = = = = = = π
OSU Physics Department PHY131 g V t y y g V g V t x x t g V t gt V V y y top the At V V g V g V t V g V t t t g t V y t t end the At top top top top f top y y f y f f 2 sin ) ( 2 2 sin cos sin ) ( 2 sin 0 sin 0 : ) ( sin sin 2 sin ) ( sin

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Unformatted text preview: 2 2 ) sin ( : ) ( 2 2 2 2 max 2 θ = = = = = = = ⇒ = − ⇒ = = − = − = − = = = ⇒ = − ⇒ = = OSU Physics Department PHY131 Ex: ● ● ● l 1 2 h d What is V in order to hit ball 2? Ball 2 is free-fall and ball 1 has θ =0. V =?...
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## This note was uploaded on 04/18/2008 for the course PHYS 131 taught by Professor Reay during the Spring '08 term at Ohio State.

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lecture06 - 2 2 ) sin ( : ) ( 2 2 2 2 max 2 θ = = = = = =...

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