Notes: Projectile Motion projectile- any object launched, thrown or shot through the air under the force of gravity. (neglecting air resistance) http://phet.colorado.edu/new/simulations/sims.php?sim=Projectile_Motion trajectory – path followed by projectile shape is a parabola parabolic curve- where every point is the same distance from the focus as it is from the directrix.

Projectile Examples http://www.mathsisfun.com/games/tanks.html http://www.youtube.com/watch?v=9niqSk9VCi8&feature=related Other videos

Projectile Examples Is a frisbee a projectile? An airplane? A rocket?

Parabola http://www.richland.edu/james/lecture/m116/conics/paradef.html

Projectile Trajectory Vy = decreasing Vy = 0 -Vy = increasing Vx = constant

Range – max Dx traveled by projectile Height – Dy at given time Max height of projectile, Vy = 0

X-motion and Y-motion are independent Trajectory of object can be resolved into components to find two independent velocities Ax = Acosq = Vx Ay = Asinq = Vy ***Strategy – both horizontal motion and vertical motion are connected by the variable time (Dt) at the same point on a trajectory. Solving forD t in one dimension gives Dt in the other dimension.