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

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1 Physics 1D03 - Lecture 4 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 Suggested Problems: Chapter 4, Problems 1, 5, 23, 63 Physics 1D03 - Lecture 4 The Position vector points from the origin to the particle. r 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 + = r ) ( t r r r r x y r r (x,y) path x i y j Physics 1D03 - Lecture 4 i f r r r r r r - = Δ Displacement : Instantaneous Velocity : is tangent to the path of the particle dt r d v / r r = Average Velocity : ( a vector parallel to ) r r Δ t avg Δ Δ / r v x y i r r final initial f r r r r Δ v avg x y r r v Physics 1D03 - Lecture 4 Acceleration is the rate of change of velocity : ) ( t v r ) ( t t v Δ + r t time t t Δ + time path of particle ) ( t v r ) ( t t v Δ + r v r Δ t v a Δ Δ r r t v t Δ Δ Δ r lim 0 dt v d a r r

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2 Physics 1D03 - Lecture 4 a is the rate of change of v .
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lecture4 - Kinematics in Two Dimensions Position velocity...

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