PAP111_Lecture03 - PAP111 Lecture3 Position, vectors

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    PAP 111  Mechanics and Relativity  Lecture 3 The Fundamental Quantities of Nature   Position, Velocity and Acceleration as Vector Quantities
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    Motion in Vector Notation Motion can be more fully described by  vectors.  This is especially so for kinematics in two and  three dimensions when the use of + or – signs  is no longer sufficient to determine the  direction  of the physical quantities of interest:  position, displacement, velocity and  acceleration.
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    Position and Displacement The position of an  object is described  by its position  vector,  r The  displacement   of the object is  defined as the  change in its  position i f r r r - =
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    Average Velocity The average velocity is defined as the  ratio of the displacement vector to the  time interval for the displacement The direction of the average velocity is  the direction of the displacement vector,  Δ r t r v
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    Instantaneous Velocity The instantaneous velocity is defined as  the limit of the average velocity as  Δ t   approaches zero The direction of the instantaneous velocity is along a  line that is tangent to the path of the particle’s direction  of motion.
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