L2F11 - P123F11 Lecture2 9Sept2011 1DimensionalMotion...

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P123F11 Lecture 2 9 Sept 2011 1 Dimensional Motion v x ( t 2 ) slope = v av x v x ( t 2 ) > v x ( t 1 ) 1 Review: • Displacement : x = x 2 - x 1 • Average velocity: • Instantaneous velocity: v x ( t ) is slope of tangent to x - t plot at time t . (Not the same as average speed) (Vector If x < 0 then x 1 “to the right” of x 2 ) x-t diagram: x = x ( t ) t x t t x x av x v 1 2 1 2 dt dx t x t x v 0 lim x 1 x 2 v x ( t )
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2 i-Clicker Question How many beans are in the 900 ml beaker? A. Fewer than 1000 B. 1000-1500 C.1500-2000 D.2000-2500 E. More than 2500
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3 2 2 dt x d dt dv a Consider x-t plot on last slide: v x ( t 1 ) < v x ( t 2 ) v x is not constant in time v x = v x ( t ) acceleration • acceleration : time rate of change of velocity • average acceleration: • instantaneous acceleration: (slope of line tangent to v x ( t ) at time t ) In v-t plot above, v x ( t ) is a line constant acceleration i.e.: v x ( t ) = [const] t dv x /dt = [const] Not always true! Suppose: v x ( t ) = Ct 3 Then : a x = a x ( t ) = dv x /dt = 3 Ct 2 constant in time!
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L2F11 - P123F11 Lecture2 9Sept2011 1DimensionalMotion...

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