# lecture4 - Kinematics in Two Dimensions Position, velocity,...

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Physics 1D03 - Lecture 4 1 Kinematics in Two Dimensions Kinematics in Two Dimensions Position, velocity, acceleration vectors Constant acceleration in 2-D Free fall in 2-D Serway and Jewett : 4.1 to 4.3

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Physics 1D03 - Lecture 4 2 The Position vector points from the origin to the particle. r The components of are the coordinates (x,y) of the particle: For a moving particle, , x(t), y(t) are functions of time. j i y x r + = ) ( t r r x y r (x,y) path x i y j
Physics 1D03 - Lecture 4 3 i f r r r - = Displacement : Instantaneous Velocity : is tangent to the path of the particle dt r d v / = Average Velocity : ( a vector parallel to ) r t avg / r v x y i r final initial f r r v avg x y r v

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Physics 1D03 - Lecture 4 4 Acceleration is the rate of change of velocity : ) ( t v ) ( t t v + t time t t + time path of particle ) ( t v ) ( t t v + v t v a t v t lim 0 dt v d a
Physics 1D03 - Lecture 4 5 a is the rate of change of v (Recall: a derivative gives the “rate of change” of function wrt a variable, like

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## This note was uploaded on 11/08/2010 for the course PHYSICS PHYSICS 1D taught by Professor Mckay during the Spring '09 term at McMaster University.

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lecture4 - Kinematics in Two Dimensions Position, velocity,...

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