1. Two-Dimensional Motion and Vectors
Uniform vs. Non-Uniform Motion
Vectors
Breaking Vectors into their x and y-components
Vector Component Addition
Practice

2. Uniform vs. Nonuniform Motion
Recall:
Uniform motion is a movement at a constant speed in a straight line.
Nonuniform motion means movement which changes in speed or direction or both.

3. Vectors Vectors involve a magnitude and direction
i.e. 100 km/h [E], and would be drawn as a horizontal line with an arrow pointed in the intended direction (always draw a compass to identify direction)
However, most movement occurs at some combination of the horizontal and vertical.
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50°

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5. Vectors
When you look at a vector, you can break it into its horizontal (x) and vertical (y) components

6. Breaking Down Your Vectors
**Always assign a positive direction**
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Use your knowledge of Trigonometry to solve for the x and y components of this vector. +

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8. Check Your Understanding
Determine the x and y components for the following.

9. Check Your Understandings
Determine the x and y components for the vector.

10. Vector Component Addition
For more complex problems we:
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Break down EVERY VECTOR into its x and y components
Create a right triangle with your x and y components and solve for the hypotenuse and angle using the Trigonometry
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Vector Addition Simulation

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12. Check Your Understanding
After leaving the huddle, a receiver on a football team runs 8.5 m [E] waiting for the ball to be snapped, then he turns abruptly and runs 12.0 m [S], suddenly changes directions, catches a pass, and runs 13.5 m [W] before being tackled. If the entire motion takes 7.0 s, determine the receiver’s
average speed.
average velocity.

13. Check Your Understanding
In 4.4 s, a chickadee flies in a horizontal plane from a fence post (P) to a bush (B) and ………….
total distance travelled
……………
total displacement
average velocity

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15. Check Your Understanding
A skater on Ottawa’s Rideau Canal travels in a straight line 8.5 x 102 m [25° N of E] and then 5.6 x 102 m in a straight line [21° E of N]. The entire motion takes 4.2 min.
What is the skater’s displacement?
What are the skater’s average speed and average velocity?