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Unformatted text preview: 1 PHYS 101 -- Lecture 4 1 Physics 101 Lecture 4 Two-dimensional kinematics Summary: Independence of x- and y- motions in 2-D Analysis of projectile motion Projectile motion is parabolic Range equation PHYS 101 -- Lecture 4 2 Projectile motion : Weve seen free-fall (last lecture); now lets generalize this to: motion under the effects of gravity near the Earths surface with an arbitrary initial velocity. Some examples are baseballs (thrown, batted, or otherwise), human cannonballs, regular cannonballs, and projectiles of all types. A common feature is that all of these embody motion at constant acceleration : downward at g = 9.8 m/s 2 . Again, one of the first to get it right was Galileo, who understood that you can analyze the vertical and horizontal motions independently ! 2 PHYS 101 -- Lecture 4 3 Lets examine the motion of a ball launched from a table horizontally: v x v y g v x v x v y v x v y At each moment, decompose the projectiles velocity into x (horizontal) and y (vertical) components PHYS 101 -- Lecture 4...
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