Practice Problems
Vectors and Scalars (Honors)
Directions:
On this worksheet you will practice with the basic definitions of vector and scalar quantities used in introductory motion.
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Question 1
A bike messenger traveled 3 blocks North, 7 blocks East, 7 blocks South, and finally 10 blocks West in order to deliver a package in the traffic, congested city. If his trip took 46 minutes, what was the magnitude of his average velocity in blocks/minute?
2.7 x 10
^{1}
1.52 x 10
^{-1}
5.87 x 10
^{-1}
5 x 10
^{0}
1.09 x 10
^{-1}
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Question 2
If the messenger in
Question #1
could have traveled directly to his destination, what would have been the direction of his net displacement?
143.1 deg
126.9 deg
141.3 deg
233.1 deg
218.7 deg
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Question 3
The magnitude of an object's average velocity can ONLY equal the magnitude of its average speed when the object is
traveling in a
straight line
standing still
traveling in successive
directions that change by 90º
traveling in a circle
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Question 4
A scalar is a quantity that can be completely described by stating its
direction
size
size and direction
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Question 5
A family taking a vacation traveled 7 hours at 65 mph and then 3 hours at only 48 mph. What was their average speed during this trip?
59.9 mph
56.5 mph
53.7 mph
53.1 mph
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Question 6
Which quantity is NOT a scalar?
time
distance
mass
acceleration
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Question 7
Which description of an object's motion is more specific: moving at a constant speed or moving at a constant velocity?
they are equivalent
constant velocity since it demands that the object not only move at a constant rate, but also maintain a constant direction
constant speed since it demands that the object has to maintain a constant rate regardless of its direction of motion
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Question 8
A student warming up for practice travels one full circuit, 400 meters, around the track. Initially he jogs 92 meters at 1.5 m/sec, then runs 276 meters at 2.2 m/sec, and finally cools down by finishing the final 32 meters at 1.0 m/sec. What was his average speed?
1.83 m/sec
1.57 m/sec
1.94 m/sec
2.35 m/sec
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Question 9
What was the student's average velocity in
Question #8
?
0 m/sec
cannot be determined
the same as his average speed
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Question 10
During a 30 minute period of time, one car moves at a constant velocity of 45 mph, N, while a second car moves at a constant velocity of 45 mph, W. During this time interval, the cars would have the same
A. instantaneous speed
B. instantaneous velocity
C. displacement
D. acceleration
C and D
A and C
B and D
B and C
A and D
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Question 11
Two 30.-newton forces act concurrently on an object. In which diagram would the forces produce a resultant with a magnitude of 30. newtons?
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Question 12
Which range of values correctly represents all possible values for the resultant in
Question #11
?
0 N ≤ R ≤ 60 N
0 N ≤ R ≤ 30 N
0 N ≤ R ≤ 42.4 N
a complete listing is not possible
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Question 13
On the ticker tape shown below, the position of an object is recorded every 0.1 seconds. How would the positions on the tape have changed if the object was traveling at a constant velocity?
the dots would have been equally spaced
the spacing between the dots would have decreased
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Question 14
In which diagram does the plane have the smallest 'ground speed'?
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