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

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.

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. _____________ 50°

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

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

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

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

Vector Component Addition For more complex problems we: _____________ 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 Click on the image in slideshow mode And it will automatically open in your browser Vector Addition Simulation

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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.

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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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?