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Vectors and 2d-Kinematics Continued

Vectors and 2d-Kinematics Continued. Comments on Homework Summary of Vectors and 2-d Kinematics Homework Solutions. Homework Results Vectors and 2-d kinematics. Awesome Job!. Average=87% No attempt = 14 . See Me or TAs. Homework 1 results. Average=62.5% .

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Vectors and 2d-Kinematics Continued

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  1. Vectors and 2d-KinematicsContinued Comments on Homework Summary of Vectors and 2-d Kinematics Homework Solutions

  2. Homework Results Vectors and 2-d kinematics Awesome Job! Average=87% No attempt = 14 See Me or TAs

  3. Homework 1 results Average=62.5% Among those who made an attempt Average=74.7%

  4. Great Suggestions for Success

  5. Questions/Suggestions For this situation the horizontal component of the velocity remains constant. The vertical component of velocity changes due to the gravitational acceleration. Kinematic equations for displacement,velocity and acceleration are the source for the derived equations. Each component can be treated separately. Remember that they are component of a vector

  6. Vectors and 2d-kinematics – Main Points

  7. Vectors and 2d-kinematics – Main Points

  8. Vectors and 2d-kinematics Fundamental Equations

  9. Source of Projectile Trajectory Equations Vertical Horizontal Boring

  10. Ballistic Projectile Motion Quantities Initial velocity speed,angle Maximum Height of trajectory, h=ymax “Hang Time” Time of Flight, tf Range of trajectory, D Height of trajectory at arbitrary x,t

  11. Derived Projectile Trajectory Equations Maximum height Time of Flight (“Hang Time”) Range of trajectory Height of trajectory as f(t) , y(t) Height of trajectory as f(x), y(x)

  12. Homework Solutions-Baseball

  13. Homework Solutions-Baseball

  14. Homework Hints- Baseball Stadium Wall

  15. Homework Hints – Stadium Wall Calculate time to reach wall using vx: Calculate y position at time to reach wall:

  16. Homework Solutions-Baseball Stadium

  17. Homework Hints-Catch

  18. Homework Hints-Catch

  19. Homework Hints-Catch

  20. Homework Solutions-Catch

  21. Homework Solutions-Catch

  22. Homework Solutions-Catch

  23. Homework Hints-Catch 2

  24. Homework Hints-Catch 2 Vxis constant ! v Kinetic energy should be same as when ball was thrown. Y-component of velocity would be downward.

  25. Homework Hints-Catch 2 Same conditions as before

  26. Homework Hints – Soccer Kick & Cannonball

  27. Homework Hints – Soccer Kick & Cannonball

  28. Homework Hints – Soccer Kick & Cannonball

  29. Homework Solutions-Catch

  30. Homework Hints-Catch

  31. Homework Hints-Catch 2

  32. Homework Solutions-Catch 2 Vxis constant ! v Kinetic energy should be same as when ball was thrown. Y-component of velocity would be downward.

  33. Homework Solutions-Catch 2 Same conditions as before

  34. Homework Hints – soccer kick

  35. Homework Solutions– soccer kick

  36. Homework Solutions – soccer kick

  37. Homework Solutions - Cannonball

  38. Cannonball Solutions

  39. Cannonball- Solutions

  40. Vectors and 2d-kinematics – Main Points

  41. vtrain car Time spend in the air depends on the maximum height Maximum height depends on the initial vertical velocity

  42. Trigonometric Identity for range equation http://mathworld.wolfram.com/Sine.html http://mathworld.wolfram.com/Cosine.html

  43. Trigonometric Identities relating sum and products List of trigonometric identities

  44. Hyperphysics-Trajectories http://hyperphysics.phy-astr.gsu.edu/hbase/traj.html

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