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Version 065/ABAAB – QTest #2 – Antoniewicz – (56445)
1
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001
10.0 points
As it passes over Grand Bahama Island, the
eye oF a hurricane is moving in a direction 26
◦
north oF west with a speed oF 96 km
/
h. Three
hours later, it shiFts due north, and its speed
slows to 16 km
/
h.
How Far From Grand Bahama is the eye 4
.
50
h aFter it passes over the island?
1. 276.967
2. 348.663
3. 244.677
4. 177.339
5. 333.359
6. 299.299
7. 362.683
8. 289.143
9. 144.312
10. 266.271
Correct answer: 299
.
299 km.
Explanation:
Let :
θ
= 26
◦
,
t
1
= 3 h
,
t
2
= 1
.
5 h
,
v
1
= 96 km
/
h
,
and
v
2
= 16 km
/
h
.
96 km
/
h
26
◦
16 km
/
h
With ˆ
ı
representing east and ˆ
representing
north, the total displacement oF the hurricane
is
R
=
R
x
ˆ
ı
+
R
y
ˆ
= (
v
1
x
ˆ
ı
+
v
1
y
ˆ
)
t
1
+ (
v
2
x
ˆ
ı
+
v
2
y
ˆ
)
t
2
Since
R
x
=
v
1
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 Fall '08
 Turner

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