Chapter 3, Vectors and TwoDimensional Motion
C
HAPTER
3
Conceptual Problems
1.
Vectors
A
,
B
, and
C
have magnitudes 6, 11, and 20. When these vectors are added, what is
the least possible magnitude of their resultant?
a. 25
b. 15
c. 2
d. 3
2.
Four vectors all have the same magnitude. Vector 1 is at 30
°
, Vector 2 is at 135
°
, vector 3 is at
240
°
, and Vector 4 is at 315
°
. Which vector has the greatest magnitude xcomponent and
which vector has the greatest magnitude ycomponent?
a. Vector 1, Vector 2
b. Vector 3, Vector 4
c. Vector 1, Vector 3
d. Vector 3, Vector 2
3.
Vector 1 is 7 units long and is at 70
°
. Vector 2 is 5 units long and is at 225
°
. Vector 3 is 3
units long and is at 150
°
. Which vector has equal magnitude components?
a. Vector 1
b. Vector 2
c. Vector 3
d. None of the vectors has equal magnitude components.
4.
A particle moves east at constant velocity
v
for a time interval
T. It then moves north at a
Δ
constant velocity, with the same speed as before, for another time interval
T. Finally it
Δ
moves east again with the original velocity. At the instant an additional time interval
T has
Δ
elapsed, which of the following are true about the average velocity and the average
acceleration for the motion described?
5.
A projectile is fired at an angle of elevation of 60
°
. Neglecting air resistance, what are
possible angles in flight between the acceleration vector and the velocity vector?
26
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Chapter 3, Vectors and TwoDimensional Motion
3.1 Vectors and Their Properties
1.
Which type of quantity is characterized by both magnitude and direction?
2.
Which of the following is an example of a vector quantity?
a. velocity
b. temperature
c. volume
d. mass
3.
When we subtract a velocity vector from another velocity vector, the result is:
4.
When we add a displacement vector to another displacement vector, the result is:
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 Spring '09
 COFFIN
 Acceleration, Velocity, m/s, twodimensional motion

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