2. For each diagram below, create a free diagram of the ball at the top of the path As you view the following video and animation think about the forces in your free body diagrams 2-D Motionvideo2-D Motion

3. Independence of Motion Notice that the veridical motion of the projected ball is identical to the vertical motion of the falling ball Notice that the projected ball travels forward at constant speed

4. Horizontal Component of Velocity Is constant Not accelerated Not influenced by gravity Follows equation:

5. Vertical Component of Velocity Undergoes accelerated motion Accelerated by gravity (9.8 m/s 2 down) V fy = V iy + at d y = V iy t + 1/2a y t 2 V fy 2 = V iy 2 + 2a y d y For all y-direction projectile equations a=g

6. Perpendicular components of motion are independent of each other

7. Independence of Motion Please visit the Physics Zone Projectile Motion Lesson “Archer in Truck: Proof III” at sciencejoywagon.com to access this video.

8. x y V i V f  v v a  d  t This may be a useful way to organize your data. Remember to solve x variables with x variables and y variables with y variables…. TIME links the x and y variables

9. Projectile fired at an angle As you view this video, notice the independence of motion. Notice that the vertical acceleration is downward and constant –The ball “slows” during ascent and “speeds up” during descent When angles are involved, the appropriate components of velocity must be used and the sign used to indicate the direction of velocity and acceleration is very important components

10. A bouncing ball captured with a stroboscopic flash at 25 images per second. MichaelMaggs Edit by Richard Bartz MichaelMaggsRichard Bartz