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Welcome back to Physics 211

Welcome back to Physics 211. Today’s agenda: Graphs Vectors (again!). Equations of Motion. v fs = v is +a s t s f = s i + v is t + 1/2a s (t) 2 v fs 2 = v is 2 + 2a s s. Skill Set Mastery. Draw a Motion Diagram Construct a s-t graph Construct a v-t graph

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Welcome back to Physics 211

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  1. Welcome back to Physics 211 Today’s agenda: Graphs Vectors (again!) PHY211 Fall 2011 Lecture 3-2

  2. Equations of Motion • vfs = vis +ast • sf = si + vist + 1/2as(t)2 • vfs2 = vis2 + 2ass PHY211 Fall 2011 Lecture 3-2

  3. Skill Set Mastery • Draw a Motion Diagram • Construct a s-t graph • Construct a v-t graph • Construct an a-t graph • Describe the motions PHY211 Fall 2011 Lecture 3-2

  4. Which position-versus-time graph represents the motion shown in the motion diagram? PHY211 Fall 2011 Lecture 3-2

  5. Which velocity-versus-time graph goes with the position-versus-time graph on the left? PHY211 Fall 2011 Lecture 3-2

  6. Which position-versus-time graph goes with the velocity-versus-time graph at the top? The particle’s position at ti = 0 s is xi = –10 m. PHY211 Fall 2011 Lecture 3-2

  7. Which velocity-versus-time graph or graphs goes with this acceleration-versus-time graph? The particle is initially moving to the right and eventually to the left. PHY211 Fall 2011 Lecture 3-2

  8. The ball rolls up the ramp, then back down. Which is the correct acceleration graph? PHY211 Fall 2011 Lecture 3-2

  9. Chapter 3. Vectors and Coordinate Systems • Topics: • Vectors • Properties of Vectors • Coordinate Systems and Vector Components • Vector Algebra PHY211 Fall 2011 Lecture 3-2

  10. PHY211 Fall 2011 Lecture 3-2

  11. PHY211 Fall 2011 Lecture 3-2

  12. Vector Components and Magnitude y x PHY211 Fall 2011 Lecture 3-2

  13. More Components PHY211 Fall 2011 Lecture 3-2

  14. PHY211 Fall 2011 Lecture 3-2

  15. PHY211 Fall 2011 Lecture 3-2

  16. PHY211 Fall 2011 Lecture 3-2

  17. Example • r = (6 i – 3 j )t2 • Find r, v, r, v at t = 0 and t = 5 s PHY211 Fall 2011 Lecture 3-2

  18. Kinematics in 2-D Topics: Acceleration Kinematics in Two Dimensions Projectile Motion Relative Motion Uniform Circular Motion Velocity and Acceleration in Uniform Circular Motion Nonuniform Circular Motion and Angular Acceleration PHY211 Fall 2011 Lecture 3-2

  19. Projectile Motion PHY211 Fall 2011 Lecture 3-2

  20. Simultaneous Projectile • Demo • Which hits first? • 1 – Straight down • 2 – Straight out • 3 – Same time • 4 – Not enough information • 5 – Depends on vx PHY211 Fall 2011 Lecture 3-2

  21. Projectile Motion Projectile motion is made up of two independent motions: uniform motion at constant velocity in the horizontal direction and free-fall motion in the vertical direction. The kinematic equations that describe these two motions are PHY211 Fall 2011 Lecture 3-2

  22. FHWIII • Due Friday 9/16/11 9:00 p.m. • Mastering Physics Titled FHWIII PHY211 Fall 2011 Lecture 3-2

  23. WHWIV • Chapter 3 text E&P – 3, 10, 23, 37 ; Chapter 4 text E&P – 5, 6, 11, (12, 45, 46, 50) • Items from Ch. 4 enclosed in ( … ) are due in MP at 9:00 pm. There is also a MP projectile motion tutorial due. PHY211 Fall 2011 Lecture 3-2

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