EPEquationsheet3 - Equation sheet exam 3 1-d motion:...

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Equation sheet exam 3 1-d motion: Average velocity t x v avg Δ Δ = Instantaneous velocity dt dx v = Average acceleration t v a avg Δ Δ = Instantaneous acceleration dt dv a = If a = constant : 2 2 1 0 0 at t v x x + + = , at v v + = 0 , ( ) 0 2 0 2 2 x x a v v + = Acceleration dues to gravity g = 9.81 m/s 2 (downward) Vectors: k ˆ j ˆ i ˆ , k ˆ j ˆ i ˆ z y x z y x b b b b a a a a + + = + + = Scalar product : z z y y x x b a b a b a ab b a + + = = θ cos . Vector product : Magnitude : sin ab b a = × , direction : use right hand rule. OR () () () z y x z y x x y y x z x x z y z z y b b b a a a b a b a b a b a b a b a b a k ˆ j ˆ i ˆ k ˆ j ˆ i ˆ = + + = × Motion in 2-d ; a x = 0, a y = -g, Uniform circular motion : r v a / 2 = Trajectory: () () 2 0 0 2 0 cos 2 tan y θ θ = v gx x Range: 0 2 0 2 sin θ = g v R Newton’s 2 nd law : z z y y x x net ma F ma F ma F a m F = = = = , , or net F includes all the forces exerted on your system from the outside net
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This note was uploaded on 04/07/2008 for the course PHYS 213 taught by Professor Oshea during the Spring '08 term at Kansas State University.

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EPEquationsheet3 - Equation sheet exam 3 1-d motion:...

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