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Chapter 3: Vectors

Chapter 3: Vectors. Vector Notation. v = speed v (or v )= velocity. Graphical Addition of Vectors. A bird flies 100 m due east, then 200 m 45 o north of west. Draw and measure the net displacement. Tail-to-Tip Method. Correct method. Resultant. tip. tail. A student drives her car

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Chapter 3: Vectors

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  1. Chapter 3: Vectors

  2. Vector Notation v = speed v (or v )= velocity

  3. Graphical Addition of Vectors A bird flies 100 m due east, then 200 m 45o north of west. Draw and measure the net displacement.

  4. Tail-to-Tip Method Correct method Resultant tip tail

  5. A student drives her car • North of 30 km/hr for 1 hour • East at 60 km/hr for 2 hours • North at 50 km/hr for 1 hour Determine the net displacement

  6. Vector Resolution A car travels 500 km at an angle 30o north of east. Calculate its x and y displacement. North 500 m 30o East

  7. Vector Resolution: Trigonometry sin q = opposite = o hypotenuse h cos q = adjacent = a hypotenuse h tan q = opposite = o adjacent a h o q a

  8. A mailman travels 300 m at an angle of 25o N of E, then 100 m at an angle 50o N of E. Calculate the total (resultant) displacement. North B=100 m 50o A=300 m 25o East

  9. A student walks 100 m at an angle 20o south of west. He then walks 40 m due north, then 65 m at an angle of 35o north of west. How far is he from the starting point?

  10. A mail carrier drives 22.0 km north. She then drives 47.0 km in a direction 60.0o S of E. What is her displacement from the post office? (Ans: 30.0 km, -38.5o)

  11. A plan travels due east for 620 km, 65o S of E for 440 km, and then 53o S of W for 550 km. What is the displacement from the airport? (Ans: 960 km, -51o)

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