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Unformatted text preview: 1 Physics 1D03 - Lecture 4 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 Suggested Problems: Chapter 4, Questions 1, 8, 15; Problems 3, 5, 15, 57 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 2 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...
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