Chapter 6 - Chapter 6 - Motion in 2 dimensions. Position...

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Unformatted text preview: Chapter 6 - Motion in 2 dimensions. Position and velocity 1 1 1 1 1 2 2 2 2 1 ; ; ; x y r r i r j x i y j r x i y j r r r xi y j = + = + = + =- = + r r r r r ; lim ; avg x y t r x y v i j t t t r dr dx dy v i j v i v j t dt dt dt = = + = = = + = + r r r r r 2 2 cos ; sin ; ; tan ; x y y x y x dx dy v v v v dt dt v v v v v = = = = = + = s d s V d t = 2 2 ( ) ( ) dx dy V dt dt = + Constant acceleration Projectile motion A projectile that is launched with an initial velocity (v ix ,v iy ) follows a parbolic trajectory. v ix =v i cos and v iy =v i sin The vertical component decreases by 9.8 m/s every second as The gravitational force is 9.8 m/s 2 . The horizontal position is Constant. ; lim ; avg t v v dv a a t t dt = = = r r r r r ; y x x y dv dv dv a a i a j i j dt dt dt = + = = + r r 1 2 2 ( ) f i ix x fx ix x x x v t a t v v a t = + + = + 1...
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This note was uploaded on 04/28/2008 for the course PHY 2111 taught by Professor Johnevans during the Summer '07 term at Georgia Perimeter.

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Chapter 6 - Chapter 6 - Motion in 2 dimensions. Position...

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