Download 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 45o north
of west. Draw and measure the net
displacement.
Tail-to-Tip Method
Correct method
Resultant
tip
tail
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 30o north of
east. Calculate its x and y displacement.
North
500 m
30o
East
Vector Resolution: Trigonometry
sin q = opposite = o
hypotenuse h
h
o
cos q = adjacent = a
hypotenuse h
tan q = opposite = o
adjacent
a
q
a
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
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?
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)
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)