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Two-Dimensional Motion and Vectors

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.

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Two-Dimensional Motion and Vectors

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  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. • _____________ 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** • __________ • 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: • _____________ • 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 Vector Addition Simulation Click on the image in slideshow mode And it will automatically open in your browser

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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?

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