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_Microsoft_Word_-_Finite_Diff_Vector_Kinematics_

_Microsoft_Word_-_Finite_Diff_Vector_Kinematics_ -...

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Finite-Difference Vector Kinematics A strobe motion diagram shows an object's positions at equally-spaced time intervals ± t : Time interval #1 ² 2 : ± r 12 = r 2 - r 1 Avg. Velocity : v 12 = ± r 12 ± t ± instantaneous v (t) midway thru interval #1 ² 2 (at time t = t 1 + ± t 2 ) if ± t is "small" enough Draw ± r 12 = v 12 ± t . . . etc. for each interval. 1 2 3 4 t = t 1 1 t + ± t 1 t + 2 ± t 1 t + 3 ± t x y z 1 2 r 1 r 2 ± r = v ± t 12 12
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Time intervals #1 ± 2 and #2 ± 3 : Avg. Acceleration : (around point #2) instantaneous v 's 644474448 a 2 = ²
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