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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 Motion. Independence of Motion.
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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 Motion
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
Horizontal Component of Velocity Newton's 1st Law • Is constant • Not accelerated • Not influenced by gravity • Follows equation: dx = Vixt + 1/2axt2 0
Vertical Component of Velocity Newton's 2nd Law • Undergoes accelerated motion • Accelerated by gravity (9.8 m/s2 down) • Vfy = Viy + at • dy = Viyt + 1/2ayt2 • Vfy2 = Viy2 + 2aydy For all y-direction projectile equations a=g
Perpendicular components of motion are independent of each other
Independence of Motion Please visit the Physics Zone Projectile Motion Lesson “Archer in Truck: Proof III” at sciencejoywagon.com to access this video.
x y Vi Vf 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
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
A bouncing ball captured with a stroboscopic flash at 25 images per second.MichaelMaggs Edit by Richard Bartz