1. 2-D K INEMATICS : Projectile Motion Astronomy 12

2. L EARNING O UTCOME : Students will be able to…  analyse quantitatively the horizontal and vertical motion of a projectile

3. P ROJECTILE - A MOVING OBJECT GIVEN INITIAL VELOCITY THAT THEN MOVES ONLY UNDER THE FORCE OF GRAVITY

4. P ROJECTILE M OTION … the path followed by a projectile is called a trajectory (parabolic) shape of trajectory and horizontal motion depend on frame of reference of the observer vertical motion does not depend on frame of reference of observer vertical and horizontal motion of a projectile are independent of each other!

5. Draw a motion diagram for a projectile… Remember, time interval between dots is the same! View Applet #2 View Applet #1

13. 2-D K INEMATICS : Uniform Circular Motion Astronomy 12

14. L EARNING O UTCOME : Students will be able to…   describe uniform circular motion using algebraic and vector analysis explain quantitatively circular motion using Newton’s laws

15. figure 1 shows the circular motion of an object with radius and speed constant velocity is perpendicular to radius ( tangential) v1 and v2 are instantaneous velocities at A and B, respectively figure 2 shows Δv = v2 – v1 if A and B are very close together, then arc AB ≈ chord AB thus, because of similar triangles in figures 1 & 2…

17. this describes centripetal (or “center-seeking”) acceleration (a c ) force that causes circular motion is called centripetal force (F c )

22. F OR B ANKED C URVES …