Chapter03 - Graphs of the motion with constant acceleration...

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Graphs of the motion with constant  acceleration
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Example) The figure shows a plot of v x ( t ) for a car traveling in a straight line. (a) What is a av,x between t = 6 s and t = 11 s ? (b) What is v av,x for the same time interval? (c) What is v av,x for the interval t = 0 to t = 20 s ? (d) What is the increase in the car’s speed between 10 and 15 s ? (e) How far does the car travel from time t = 10 s to time t = 15 s ?
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Chapter 3 : Motion in Two or  Three Dimensions
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Motion of a particle in space Position : Displacement : Average velocity: Instantaneous velocity 1. Position and Velocity Vectors ˆ ˆˆ r xi yj zk = + + r av r v t = r r 0 lim ˆ ˆˆ t r dr v t dt dx dy dz i j k dt dt dt = = = + + r r r ( 29 , , , , x y z dx dy dz v v v v dt dt dt = = r 2 2 2 x y z v v v v = + + r 2 1 r r r ∆ = - r r r
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A velocity in the xy -plane can be decomposed into separate x and y components. Trigonometry will aid the determination.
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2. Acceleration Vector Average acceleration: Instantaneous acceleration av v a t = r
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This note was uploaded on 02/13/2012 for the course RANDOM 100 taught by Professor Idk during the Fall '08 term at Virginia Tech.

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Chapter03 - Graphs of the motion with constant acceleration...

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