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8. We label the displacement vectors
G
A
,
G
B
and
G
C
(and denote the result of their vector
sum as
G
r
). We choose
east
as the
ˆ
i
direction (+
x
direction) and
north
as the
ˆ
j
direction
(+
y
direction). We note that the angle between
G
C
and the
x
axis is 60°. Thus,
() ()
ˆ
(50 km)i
ˆ
(30 km) j
ˆˆ
(25 km) cos 60
i + (25 km)sin 60
j
A
B
C
=
=
=°
°
G
G
G
(a) The total displacement of the car from its initial position is represented by
(62.5 km)i
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 Spring '08
 Any
 Physics

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