1. Fig. 4.1, p.78

2. Fig. 4.4, p.80

3. Rules of Projectile Motion The x- and y-directions of motion can be treated independently The x- and y-directions of motion can be treated independently The x-direction is uniform motion The x-direction is uniform motion a x = 0 a x = 0 The y-direction is free fall The y-direction is free fall a y = -g a y = -g The initial velocity can be broken down into its x- and y-components The initial velocity can be broken down into its x- and y-components

4. Projectile Motion

5. Fig. 4.9, p.85

6. Fig. 4.11, p.87

7. Non-Symmetrical Projectile Motion Follow the general rules for projectile motion Follow the general rules for projectile motion Break the y-direction into parts Break the y-direction into parts up and down up and down symmetrical back to initial height and then the rest of the height symmetrical back to initial height and then the rest of the height

8. Fig. 4.16, p.91

9. Some Variations of Projectile Motion An object may be fired horizontally An object may be fired horizontally The initial velocity is all in the x-direction The initial velocity is all in the x-direction v o = v x and v y = 0 v o = v x and v y = 0 All the general rules of projectile motion apply All the general rules of projectile motion apply

10. Fig. 4.13b, p.88

11. Fig. 4.13a, p.88

12. Fig. 4.17, p.92 vfvf -vi-vi ΔvΔv Δθ

13. Fig. 4.19b, p.95

14. Fig. 4.18, p.94

15. Fig. 4.20a, p.96

16. Click to view animation.

17. Fig. 4.21, p.96

18. Fig. 4.22, p.97

19. Solving Relative Velocity Problems The pattern of subscripts can be useful in solving relative velocity problems The pattern of subscripts can be useful in solving relative velocity problems Write an equation for the velocity of interest in terms of the velocities you know, matching the pattern of subscripts Write an equation for the velocity of interest in terms of the velocities you know, matching the pattern of subscripts

20. Fig. 4.24, p.98

21. Fig. 4.25, p.99