Final Exam Formula Sheet

# Final Exam Formula Sheet - FORMULA SHEET — Page 1 You may...

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Unformatted text preview: FORMULA SHEET — Page 1 You may tear this sheet out of the exam — you do not have to hand it in with the rest of your exam. R x = A x + B x , R y = A y + B y , R z = A z + B z (components of ! R = ! A + ! B ) ! A = A x ˆ i + A y ˆ j + A z ˆ k , ! B = B x ˆ i + B y ˆ j + B z ˆ k ! ! cos cos B A B A ! ! ! ! = = " AB (definition of the scalar (dot) product) z z y y x x B A B A B A + + = ! B A ! ! (scalar (dot) product in terms of components) C = AB sin ! (magnitude of ! C = ! A ! ! B ) C x = A y B z ! A z B y C y = A z B x ! A x B z C z = A x B y ! A y B x (components of ! C = ! A ! ! B ) t x t t x x v x ¡ ¡ = ¢ ¢ = ¢ 1 2 1 2 av (average velocity, straight-line motion) dt dx t x v t x = ! ! = " ! lim (instantaneous velocity, straight-line motion) t v t t v v a x x x x ¡ ¡ = ¢ ¢ = ¢ 1 2 1 2 av (average acceleration, straight-line motion) dt dv t v a x x t x = ! ! = " ! lim (instantaneous acceleration, straight-line motion) t a v v x x x + = (constant acceleration only) 2 2 1 t a t v x x x x + + = (constant acceleration only) ) ( 2 ¡ 2 ¡ 2 x x a v v x x x ! + = (constant acceleration only) t v v x x x x !...
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Final Exam Formula Sheet - FORMULA SHEET — Page 1 You may...

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