Part 1 Multiple Choice (30 minutes)
Directions: Units associated with numerical quantities are abbreviated, using the abbreviations
listed in the table of information. To simplify calculations, you may use g = 10 m/s2 in all
problems. Each of the questions or incomplete statements below is followed by five suggested
answers or completions. Select the one that is best in each case.
1. The mathematical relationship between three physical quantities is given by
If
 L
;
the dimension of b is  T and the dimension of c is [L]. Which one of the following
choices is the dimension of a?
A) [L]
B)
[T]
C)
D)
 L
 L
 T
 T 2
E)
 L 2
 T 2
2. Using the dimensions given for the variables in the table, determine which one of the
following expressions is correct.
A)
B)
f 
f = 2lg
g
2 l
C)
D)
2 f 
g
l
E)
f  2 gl
2 f 
l
g
3. Which one of the following statements is true concerning scalar quantities?
A) Scalar quantities must be represented by base units.
B) Scalar quantities have both magnitude and direction.
C) Scalar quantities can be added to vector quantities using rules of trigonometry.
D) Scalar quantities can be added to other scalar quantities using rules of trigonometry.
E) Scalar quantities can be added to other scalar quantities using rules of ordinary
addition.
4. Two vectors A and B are added together to form a vector C. The relationship between the
magnitudes of the vectors is given by A + B = C. Which one of the following statements
concerning these vectors is true?
A) A and B must be displacements.
B) A and B must have equal lengths.
C) A and B must point in opposite directions.
D) A and B must point in the same direction.
E) A and B must be at right angles to each other.
5. Three vectors A, B, and C add together to yield zero: A + B + C = 0. The vectors A and
C point in opposite directions and their magnitudes are related by the expression: A = 2C.
Which one of the following conclusions is correct?
A) A and B have equal magnitudes and point in opposite directions.
B) B and C have equal magnitudes and point in the same direction.
C) B and C have equal magnitudes and point in opposite directions.
D) A and B point in the same direction, but A has twice the magnitude of B.
E) B and C point in the same direction, but C has twice the magnitude of B.
6. A physics student adds two displacement vectors with magnitudes of 8.0 km and 6.0 km.
Which one of the following statements is true concerning the magnitude of the resultant
displacement?
A) It must be 10.0 km.
B) It must be 14.0 km.
C) It could be equal to zero kilometers, depending on how the vectors are oriented.
D) No conclusion can be reached without knowing the directions of the vectors.
E) It could have any value between 2.0 km and 14.0 km depending on how the vectors
are oriented.
7. Four members of the Main Street Bicycle Club meet at a certain intersection on Main
Street. The members then start from the same location, but travel in different directions.
A short time later, displacement vectors for the four members are:
A = 2.0 km, west; B = 1.6 km, north; C = 2.0 km, east; D = 2.4 km, south
What is the resultant displacement R of the members of the bicycle club:
R = A + B + C + D?
A) 0.8 km, south
D) 4.0 km, east
B) 0.4 km, 45° south of east
E) 4.0 km, south
C) 3.6 km, 37° north of west
8. A racecar makes one lap around a circular track of radius R. When the car has traveled
halfway around the track, what is the magnitude of the car's displacement from the
starting point?
A) R B) 2R C) R D) 2R E) zero meters
9. During the first 18 minutes of a 1.0-hour trip, a car has an average speed of 11 m/s. What
must the average speed of the car be during the last 42 minutes of the trip be if the car is
to have an average speed of 21 m/s for the entire trip?
A) 21 m/s B) 23 m/s C) 25 m/s D) 27 m/s E) 29 m/s
10. A landing airplane makes contact with the runway with a speed of 78.0 m/s and moves
toward the south. After 18.5 seconds, the airplane comes to rest. What is the average
acceleration of the airplane during the landing?
A) 2.11 m/s2, north
D) 4.22 m/s2, south
2
B) 2.11 m/s , south
E) 14.3 m/s2, north
C) 4.22 m/s2, north
11. Two objects A and B accelerate from rest with the same constant acceleration. Object A
accelerates for twice as much time as object B, however. Which one of the following
statements is true concerning these objects at the end of their respective periods of
acceleration?
A) Object A will travel twice as far as object B.
B) Object A will travel four times as far as object B.
C) Object A will travel eight times further than object B.
D) Object A will be moving four times faster than object B.
E) Object A will be moving eight times faster than object B.
12. The graph shows the height versus time of an object. Estimate the instantaneous velocity,
in m/s, of the object at time t = 15 min.
A) 0.90 m/s
B) 0.70 m/s
C) 0.50 m/s
D) 0.30 m/s
E) 0.10 m/s
Use the following to answer questions 13-15:
An object is moving along the x axis. The graph shows its position from the starting point as a
function of time. Various segments of the graph are identified by the letters A, B, C, and D.
13. During which interval(s) is the object moving in the negative x direction?
A) during interval B only
D) during intervals B and D
B) during intervals B and C
E) during intervals B, C, and D
C) during intervals C and D
14. What is the velocity of the object at t = 7.0 s?
A) +3.0 m/s B) 1.0 m/s C) 2.0 m/s D) 3.0 m/s
E) zero
15. What is the acceleration of the object at t = 7.0 s?
A) 0 m/s2 B) 2.0 m/s2 C) 3.0 m/s2 D) +9.8 m/s2 E) +4.0 m/s2
16. A physics student standing on the edge of a cliff throws a stone vertically downward with
an initial speed of 10 m/s. The instant before the stone hits the ground below, it is
traveling at a speed of 30 m/s. If the physics student were to throw the rock horizontally
outward from the cliff instead, with the same initial speed of 10 m/s, how fast would the
stone be traveling just before it hits the ground?
A) 10 m/s
B) 20 m/s
C) 30 m/s
D) 40 m/s
E) The height of the cliff must be specified to answer this question.
Use the following to answer questions 17-19:
A projectile is fired from a gun and has initial horizontal and vertical components of velocity
equal to 30 m/s and 40 m/s, respectively.
17. Determine the initial speed of the projectile.
A) 40 m/s B) 50 m/s C) 60 m/s D) 70 m/s
E) 80 m/s
18. Approximately how long does it take the projectile to reach the highest point in its
trajectory?
A) 1 s B) 2 s C) 4 s D) 8 s E) 16 s
19. What is the speed of the projectile when it is at the highest point in its trajectory?
A) 0 m/s B) 20 m/s C) 30 m/s D) 40 m/s E) 50 m/s