Chapter 3: Vectors. Vector Notation v = speed v (or v )= velocity.

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Presentation transcript:

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 tail tip Resultant

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

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

Vector Resolution: Trigonometry sin  = opposite = o hypotenuse h cos  = adjacent = a hypotenuse h tan  = opposite = o adjacent a  h a o

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

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

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

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