_Microsoft_Word_-_Finite_Diff_Vector_Kinematics_

_Microsoft_Word_-_Finite_Diff_Vector_Kinematics_ -...

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Unformatted text preview: Finite-Difference Vector Kinematics A strobe motion diagram shows an object's positions at equally-spaced time intervals t : Time interval #1 r 12 = r 2 - r 1 Avg. Velocity: v 12 = r 12 t z 1 2 t = t1 t 1+ t 2: 1 r 12 = v 12 t 2 3 t1+ 2 t r1 y x r2 4 t1+ 3 t instantaneous v (t) midway thru interval #1 t (at time t = t1 + ) if 2 2 t is "small" enough Draw r 12 = v 12 t . . . etc. for each interval. Time intervals #1 2 and #2 3: 1 v12 t 2 Avg. Acceleration : (v23- v12) t = (around point #2) instantaneous v 's 2 644474448 a 2 ( t) a2 = v t = t t v (t2 + 2 ) - v (t2 - 2 ) v23 t 3 t v t= r vectors -v 12 t avg. v 's 64748 v 23 - v 12 t = 6447448 v 23 t - v 12 t ( t) 2 = ( v t) ( t) 2 = ( r) ( t) 2 instantaneous a(t) at point #2 for "small" t Draw v 23 t - v 12 t a 2 ( t) 2 . . . etc. for each point. ...
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This note was uploaded on 03/27/2008 for the course PHYS 1112 taught by Professor Leclair,a during the Spring '07 term at Cornell.

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_Microsoft_Word_-_Finite_Diff_Vector_Kinematics_ -...

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