Lec-03 - MOTION IN ONE DIMENSION Learning Objectives After...

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1 [©2008 RJ Bieniek] M OTION IN O NE D IMENSION Learning Objectives After you complete the homework associated with this lecture, you should be able to: Understand the physical meaning of position , displacement , velocity , and acceleration in a one- dimensional situation. Give precise mathematical definitions of these kinematic quantities. Analyze and predict the motion of objects using this understanding. 2 [©2008 RJ Bieniek] Position, Displacement, and Distance Position: Where something is located. ! Generally in reference to some coordinate system. ! This gives us the opportunity of assigning it a numerical value x . ! The function x (t) tells us the evolution of position, i.e., the location of the particle as a function of time. Notation: x 0 = x(t 0 ) is not x 0 = 0 x 1 = x(t 1 )x 2 = x(t 2 ) 3 [©2008 RJ Bieniek] ! We must give the x -axis a positive direction so that we can properly assign positive and negative values for a 1-D (one dimensional) position. Note: x 2 and x 3 are the same distance from the origin, but are in different “directions” 4 [©2008 RJ Bieniek] Displacement: A change in position
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Lec-03 - MOTION IN ONE DIMENSION Learning Objectives After...

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