eqn-sheet-final - Equations and Constants for Final Exam...

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Unformatted text preview: Equations and Constants for Final Exam Note: you may detach this sheet from the quiz. You do not need to hand it in. 1. vectors: (a) A = A = q A 2 x + A 2 y ; (b) A = tan 1 ( A y /A x ) . (c) A + B = ( A x + B x ) + ( A y + B y ) j ; (d) A B = AB cos A, B = A x B x + A y B y . (e) d A/dt = ( dA x /dt ) + ( dA y /dt ) j . 2. position: (a) r = x + y j ; (b) displacement: d = r 2 r 1 ; (c) distance: d = | r 2 r 1 | . 3. velocity: (a) v AV G = ( r 2 r 1 ) / ( t 2 t 1 ) v = d r/dt as t 2 t 1 ; (b) speed: v = | v | . 4. acceleration: (a) a AV G = ( v 2 v 1 ) / ( t 2 t 1 ) a = dv/dt as t 2 t 1 ; 5. constant acceleration in 1D: (a) v = v + at ; (b) x = x + v t + at 2 / 2 ; (c) v 2 = v 2 + 2 a ( x x ) . 6. constant acceleration in 3D: (a) v = v + at ; (b) r = r + v t + at 2 / 2 ....
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eqn-sheet-final - Equations and Constants for Final Exam...

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