1. D EVIL P HYSICS B ADDEST C LASS ON C AMPUS IB P HYSICS

2. Tsokos Lesson 2-10 Projectile Motion

3. Introduction Videos Projectile Motion 1 Useful Applications of Projectile Motion

4. IB Assessment Statements Topic 9.1, Projectile Motion: 9.1.1.State the independence of the vertical and the horizontal components of velocity for a projectile in a uniform field. 9.1.2.Describe and sketch the trajectory of projectile motion as a parabolic in the absence of air resistance.

5. IB Assessment Statements Topic 9.1, Projectile Motion: 9.1.3.Describe qualitatively the effect of air resistance on the trajectory of a projectile. 9.1.4.Solve problems on projectile motion.

6. Objectives Understand parabolic motion as a combination of two simultaneous straightline motions, one horizontal and one vertical Understand that in parabolic motion there is an acceleration in the vertical direction (due to gravity) but none in the horizontal direction

7. Objectives Derive expressions for maximum height (by setting v y = 0) and maximum range (by setting y = 0) reached by imposing appropriate conditions on the equations Solve problems of parabolic motion Draw the velocity and acceleration vectors of the projectile at various points on its path

8. Objectives Appreciate the convenience afforded by the law of conservation of energy in some parabolic motion problems

9. Where We’ve Been One Dimensional Motion

10. Horizontal Motion

11. Kinematic Equations for Horizontal Motion

12. Vertical Motion – Drop Problem

13. Vertical Motion with Vertical Velocity

14. Kinematic Equations HorizontalVertical

15. Where We’ve Been Vectors

16. Vectors and Scalars

17. Vector Addition - Graphically

18. Vector Subtraction - Graphically

19. Breaking Vectors Down Into Components

20. Adding Vectors Using Components

21. Putting It All Together

22. Two Dimensional Projectile Motion

24. Thanks, Galileo

25. One Key Finding The time it takes for an object to fall from a given height is the same whether it is simply dropped or if it begins with a horizontal velocity. Time to Fall

26. Kinematic Equations HorizontalVertical

27. Assumptions We consider its motion only after it has been projected and is moving freely through the air – We don’t consider the acceleration it took to reach that velocity We consider air resistance to be negligible – When the object is moving through the air, both horizontally and vertically, it doesn’t slow down due to air resistance

28. Make the Math Easier No horizontal acceleration, horizontal velocity remains constant Y-axis positive up, gravity negative down Acceleration in Parabolic Motion

29. Kinematic Equations for Projectile Motion

30. Problem Solving Process – Extra Steps 1.Read the problem carefully and draw a picture 2.Choose origin and x-y coordinate system 3.If given an initial velocity, resolve it into x- and y-components. 4.Analyze horizontal (x) and vertical (y) motion separately 5.Continue with problem solving process for kinematic equations

31. Manipulation of Variables Projectile Motion Simulator

32. Sample Problems

33. Σary Review Do you understand parabolic motion as a combination of two simultaneous straightline motions, one horizontal and one vertical? Do you understand that in parabolic motion there is an acceleration in the vertical direction (due to gravity) but none in the horizontal direction?

34. Σary Review Can you derive expressions for maximum height (by setting vy = 0) and maximum range (by setting y = 0) reached by imposing appropriate conditions on the equations? Can you solve problems of parabolic motion? Can you draw the velocity and acceleration vectors of the projectile at various points on its path?

35. Σary Review Do you appreciate the convenience afforded by the law of conservation of energy in some parabolic motion problems?

36. IB Assessment Statements Topic 9.1, Projectile Motion: 9.1.1.State the independence of the vertical and the horizontal components of velocity for a projectile in a uniform field. 9.1.2.Describe and sketch the trajectory of projectile motion as a parabolic in the absence of air resistance.

37. IB Assessment Statements Topic 9.1, Projectile Motion: 9.1.3.Describe qualitatively the effect of air resistance on the trajectory of a projectile. 9.1.4.Solve problems on projectile motion.

38. Q UESTIONS ?Q UESTIONS ?

39. Homework Lsn 2-10, Part A, #1-10 Lsn 2-10, Part A, #11-20 SL skip #18 & 20

40. Weightlessness On Skis On A Motorcycle