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78. This is a classic problem involving twodimensional relative motion. We align our
coordinates so that
east
corresponds to +
x
and
north
corresponds to +
y
. We write the
vector addition equation as
G
G
G
vvv
BG
BW
WG
=+
.
We have
G
v
WG
=∠
°
(.
)
20 0
in the magnitude
angle notation (with the unit m/s understood), or
G
v
=
20
.
#
i in unitvector notation. We
also have
G
v
BW
°
)
8 0 120
where we have been careful to phrase the angle in the
‘standard’ way (measured counterclockwise from the +
x
axis), or
ˆˆ
( 4.0i+6.9j) m/s.
BW
v
=−
G
(a) We can solve the vector addition equation for
G
v
BG
:
ˆ
ˆ
ˆ
(2.0m/s)i ( 4.0i+6.9j) m/s
( 2.0 m/s)i (6.9m/s) j.
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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