1. Motion in Two Dimensions
Chapter 6.1 Notes
Motion in Two Dimensions

2. Section 6.1 Objectives
Recognize that the vertical and horizontal components of a projectile are independent.
Use horizontal and vertical components of motion to solve 2D motion problems.

3. Projectile Motion
As you throw a ball, or any type of object, what shape does it make in the air?
Projectile
Trajectory

4. Independence of Motion in Two Dimensions
What forces act on an object after it’s initial thrust if you ignore air resistance?

5. Projectiles Launched Horizontally

6. Problem-Solving Strategy
p. 149 in your textbook
Use these steps every time you solve a 2D motion problem!

7. Example Problem
The longest shot on a golf tournament was made by Mike Austin in The ball went a distance of 471 m. Suppose the ball was shot horizontally off a cliff at 80.0 m/s.
Calculate the height of the cliff.
How long does it take the golf ball the reach the bottom of the cliff?
What are the horizontal and vertical components of the stone’s velocity just before it hits the ground?

8. Projectiles Launched at an Angle

9. Example Problem
A player kicks a football from ground level with an initial velocity of 27.0 m/s, 30.0° above the horizontal. Find each of the following. Assume that air resistance is negligible.
The ball’s flight time
The ball’s maximum height
The ball’s range