ASSIGNMENT #1
DUE ON SEPTEMBER 15, 2005
HAND-IN
CHAPTER #3:
QUESTIONS:
PROBLEMS:
4 on page 53
• A displacement
vector
in
the xy plane is 15 m long and directed at
angle q = 30° in Figure 3-27.
Determine (a) the x component and (b) the y component of the
vector.
5 on page 53
• A ship sets out to sail to a point 120 km due north. An unexpected storm blows the ship to a point 100 km due east of its starting point. (a) How far and (b) in what direction must it now sail to reach its original destination?
8 on page 53
A person walks in the following pattern: 3.1 km north, then 2.4 km west, and finally 5.2 km south. (a) Sketch the vector diagram that represents this motion. (b) How far and (c) in what direction would a bird fly in a straight line from the same starting point to the same final point?
11 on page 53
• (a) In
unit-vector notation, what is the sum 
if
and 
?
What are the (b) magnitude and (c) direction of ?
19 on page 54
• The two
vectors 
and
in
Figure 3-29
have equal magnitudes of 10.0 m and the angles are q1
= 30° and q2 = 105°. Find the (a) x
and (b) y components of their vector
sum ,
(c) the magnitude of ,
and (d) the angle makes
with the positive direction of the x axis.
22 on page 54
•• Oasis B is 25 km due east of oasis A. Starting from oasis A, a camel walks 24 km in a direction 15° south of east and then walks 8.0 km due north. How far is the camel then from oasis B?
27 on page 54
• Two
vectors, and 
,
lie in the xy plane. Their magnitudes are 4.50
and 7.30 units, respectively, and their directions are 320° and 85.0°,
respectively, as measured counterclockwise from the positive x axis.
What are the values of (a) 
and
(b) 
?
29 on page 55
• Three
vectors are given by 
,
,
and 
.
Find (a) 
,
(b) 
,
and (c) 
.
34 on page 55
••34 For the following three vectors, what is 
?
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CHAPTER #3:
QUESTIONS:
PROBLEMS:
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