eqn-sheet-3 - Equations and Constants for Quiz 3 Note: you...

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Unformatted text preview: Equations and Constants for Quiz 3 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) θ ¡ A = tan − 1 ( A y /A x ) . (c) ¡ A + ¡ B = ( A x + B x )ˆ ı + ( A y + B y ) ˆ j ; (d) ¡ A · ¡ B = AB cos θ ¡ A, ¡ B = A x B x + A y B y . (e) d ¡ A/dt = ( dA x /dt )ˆ ı + ( dA y /dt ) ˆ j . 2. position: (a) ¡ r = x ˆ ı + y ˆ 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 = d¡v/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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This note was uploaded on 01/29/2012 for the course PHYS 213 taught by Professor Oshea during the Fall '08 term at Kansas State University.

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eqn-sheet-3 - Equations and Constants for Quiz 3 Note: you...

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