1. Projectiles Motion in Two Dimensions Chapter 7

2. Projectile An object launched into the air by a force Trajectory The path followed by a projectile

3. Horizontal Motion The red ball moves horizontally at equal intervals (constant velocity) It is not speeding up or slowing down

4. Independence of Motion All the balls fall at the same rate The horizontal and vertical motions are independent of each other

5. Projectile Motion Equations

6. Objects Launched at an Angle

7. Range (R) The horizontal distance traveled by a projectile

8. Velocity Components Determine the vertical (y) and horizontal (x) components of the initial velocity.

9. Projectiles at an Angle Then use the values in the original equations

10. Hang-Time equation Should be negative 2

11. Maximum Height equation Same equation as before Time = ½ the total time Why?

12. Range equation Horizontal distance Same equation as before X = Vx t

13. 7.2 Periodic Motion Repeating Motion An object on a string Pendulum Bouncing on a spring

14. Circular Motion Velocity is perpendicular (tangent) to the radius

15. Centripetal Acceleration “Toward the center” The rate of change of tangential velocity

16. Period Period (T) is the time of a complete revolution 2 pie r = circumference = distance Velocity = distance / time

17. Centripetal Acceleration Equation

18. Centripetal Forces There must be a force to cause acceleration

19. Centripetal Force Equation Newton’s second law

20. Changing Circular Motion: Torque

21. Simple Harmonic Motion

22. Amplitude

23. Pendulum The period of the pendulum depends only the length. NOT mass or amplitude

24. Pendulum Can be used to calculate g at a specific location