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Chapter03 - Chapter 3 Acceleration and Newtons Second Law...

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Chapter 3: Acceleration and  Newton’s Second Law of  Motion
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1. Position and displacement Position : the location of an object Displacement : the direction and distance of the shortest path between an initial and final position: f i r r r = - r r r
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Example of the displacement
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Vector subtraction A r B r A B - r r Draw a vector from B end to A end
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2. Velocity Average velocity Average velocity does not convey detailed information about the motion during the corresponding time interval t . unit of velocity : f i av f i r r r v t t t - = = - r r r r
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Instantaneous velocity 0 lim t r v t = r r 0 lim x t x v t = 0 lim y t y v t = In component form
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Relationship Between Position and Velocity on Graphs of x ( t ) and v ( t ) Velocity on x-t graph
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Displacement on v-t graph displacement = area under the curve
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Problem 3.19) A graph is plotted of the vertical velocity component of an elevator versus time. (a) How high is the elevator above the starting point ( t = 0) after 20 s have elapsed?
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