Lecture 6 Feb. 1 - Lecture 6: 2D Motion and Projectiles...

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Physics 102 Lecture 6 Slide 1 Department of Physics, University of Arizona Lecture 6: 2D Motion and Projectiles Motivation: Objectives: Relevant to motion of any projectiles (e.g., arrows, footballs) Building mathematical foundation for the study of 2D and 3D motion Learn how to find motion vectors (e.g. displacement, velocity) in 2D Find complete equations for 2D position and velocity for projectile motion Show how velocity, acceleration vectors vary for projectile motion
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Physics 102 Lecture 6 Slide 2 Department of Physics, University of Arizona Subtracting vectors A B To subtract a vector, add its negative: C = A - B = A + ( - B ) A - B A C = A B B Components: C x = A x - B x ; C y = A y - B y The result can also be obtained by lining up A and B tail to tail , then drawing C from the second (subtracted) vector to the first:
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Physics 102 Lecture 6 Slide 3 Department of Physics, University of Arizona 2D Displacement, Velocity, Acceleration x y r 1 r 2 r time t 1 2 v vectors Position vector r of a particle: Drawn from a fixed origin to the (instantaneous) location of the particle. Trajectory
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Lecture 6 Feb. 1 - Lecture 6: 2D Motion and Projectiles...

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