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Vector Addition: “Tip-to-Tail”
A
A
B
C
A + B + C= Resultant
B
C
D
90
0
180
270
After walking 11 km due East from
camp, a hiker then walks 11 km
due North.
a)What is the total distance traveled
by the hiker?
b)Determine the total Displacement
from the reference point (camp)
R2 = x2 + y2
Total Dist = 22 km
Ө= Tan-1(o/a)
11 km
Ө 11 km
Displacement = ?
Recall Pythagorean Thm.
Two children push on a toy box at the
same time. One pushes with a
force of 125 N West and the other
pushes 165 N South.
What is the magnitude and direction
of the Net Force (Resultant)?
R2 = x2 + y2
125 N
Ө
Ө= Tan-1(o/a)
165 N
Recall Pythagorean Thm.
While flying due West at 120 km/hr,
an airplane is also affected by a 45
km/hr wind blowing due North.
What is the magnitude and direction
of the plane’s resultant velocity?
R2 = x2 + y2
Ө= Tan-1(o/a)
45
km/hr
Ө
120 km/hr
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