PHYS211 - PH2100 Formula Sheet Motion in One Dimension...

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Motion in One Dimension 0 0 2 1 2 1 2 22 lim lim () 2 fi x x t x x xx x t x f x ix x x x i xf x f x i x tota l distance average speed tota l time xxx x v t x dx v t dt v a t v dv a t dt vv at v t v t v vt a ∆→ ≡- ≡= =+ -=+ -= = +- Vectors 1 cos sin ˆˆ tan x y xy y x AA A A i Aj AAA A A q q q - = =  =   r Motion in Two Dimensions 0 0 lim lim avg t t r x i yj rrr r v t r dr v t dt d x dy vij d t dt v a t v dv a t dt ∆≡- r r r rr r r r r r 2 1 2 2 2 2 2 0 (ta n) 2 cos si n sin2 2 , ˆ ˆ ' ' fii i ii i i rt v v at r r v t at g y v hR gg v dv aa r dt dv v ar d tr v vv q q qq q =++ =- == = r rr r r The Laws of Motion 1 2 21 g kk ss spring F ma FF F mg fn F kx m m = = = r r r r Circular Motion 2 mv F ma r Work and Kinetic Energy 2 1 2 0 cos cos lim f i x x y y zz x x x i othe r kf t W Fd AB A B A B A B W F dx K WK KW f dK W t W dW Fv t dt q q = =∆ + = =⋅ r r r r P P
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PHYS211 - PH2100 Formula Sheet Motion in One Dimension...

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