2-D Projectile Motion Physics Chapter 3 Section 3 Pages

2-Dimensional Projectile Motion Motion of objects moving in 2 dimensions which are under the influence of gravity.

Projectiles Objects thrown or launched into the air and whose motion is subject to gravity’s pull

Projectile motion is essentially free fall motion with an initial horizontal velocity OR initial horizontal and vertical velocity. Launched at an angle Launched horizontally Projectiles follow a parabolic path

2 Types of Projectile Motion 1. Projectiles launched horizontally  NO initial upward or downward motion  All motion will be horizontal (x) and down (y)

Equations for horizontally launched projectiles Horizontal Motion Δx = V x Δt V x = V xi = constant Vertical Motion Δy = +½ g (Δt) 2 V yf = +g Δt V yf 2 = +2g Δy Overall Final Velocity V f 2 = V x 2 + V yf 2

2 Types of Projectile Motion 2. Projectiles launched at an angle  Use x and y components to analyze motion  Have initial upward angle of motion (could be initially downward as well)  Have initial horizontal motion

Physics is all around you…Physics is PHUN! You can find Physics in a baseball stadium (At Fenway Park) I bet you never thought that Physics was a major part of baseball stadium design.

Physics is all around you…Physics is fun! What makes THE GREEN MONSTER so different from other baseball stadium outfield walls? Why the answer is simple…..Physics! The Green Monster

Equations for Projectiles Launched at an Angle Δx = V i (cosθ) Δt V xi = V i (cosθ)  remains constant V yi = V i (sinθ) Δy = V i (sinθ) Δt + ½ g (Δt) 2 V yf = V i (sinθ) + g (Δt) V yf 2 = V i 2 (sinθ) 2 + 2g (Δy) Overall Final Velocity V f 2 = V x 2 + V yf 2

Substitution of equations There will be times when you do not have the values you need, but you have almost enough. During those times, you can rearrange equations to substitute variables. This is the easiest equation to rearrange, but others work as well. Δx = V i (cosθ) Δt Δx = V i (cosθ) Δt

Projectile Motion Internet Link: Projectile Motion Page from "The Physics Classroom“ Physics Projectile Webquest Firing Ball Golf #1 Golf #2 Monkey Cannon