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81. Here, the subscript
W
refers to the water. Our coordinates are chosen with +
x
being
east
and +
y
being
north
. In these terms, the angle specifying
east
would be 0° and the
angle specifying
south
would be –90° or 270°. Where the length unit is not displayed, km
is to be understood.
(a) We have
GG
G
vv
v
AW
AB
BW
=+
, so that
G
v
= (22
∠
– 90°) – (40
∠
37°) = (56
∠
– 125°)
in the magnitudeangle notation (conveniently done with a vectorcapable calculator in
polar mode).
Converting to rectangular components, we obtain
ˆˆ
( 32km/h) i (46 km/h) j .
v
=−
−
G
Of course, this could have been done in unitvector notation from the outset.
(b) Since the velocitycomponents are constant, integrating them to obtain the position is
straightforward (
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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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