Practice Problems
Description of Motion - Scalar vs Vector Quantities
Directions:
On this worksheet you will practice with the basic definitions of introductory motion.
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Question 1
A bike messenger traveled 4 blocks North, 5 blocks East, 8 blocks South, and finally 10 blocks West in order to deliver a package in the traffic, congested city. If his trip took 43 minutes, what was the magnitude of his average velocity in blocks/minute?
2.7 x 10
1
6.28 x 10
-1
2.09 x 10
-1
6.4 x 10
0
1.49 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?
128.7 deg
218.7 deg
148.0 deg
212.0 deg
141.3 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
traveling in a circle
standing still
traveling in successive
directions that change by 90º
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Question 4
A scalar is a quantity that can be completely described by stating its
size
size and direction
direction
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Question 5
A family taking a vacation traveled 5 hours at 65 mph and then 4 hours at only 47 mph. What was their average speed during this trip?
55.0 mph
56.0 mph
57.0 mph
52.6 mph
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Question 6
Which quantity is NOT a scalar?
distance
time
acceleration
mass
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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?
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
the two terms are completely equivalent
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Question 8
A student warming up for practice travels one full circuit, 400 meters, around the track. Initially he jogs 86 meters at 1.5 m/sec, then runs 258 meters at 2.2 m/sec, and finally cools down by finishing the final 56 meters at 1.0 m/sec. What was his average speed?
1.57 m/sec
1.88 m/sec
2.35 m/sec
1.73 m/sec
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Question 9
What was the student's average velocity in
Question #8
?
cannot be determined
0 m/sec
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
A and C
C and D
B and D
B and C
A and D
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Question 11
A moving van completes its journey of 645 kilometers in 10 hours. Approximately how far should it have traveled 7.5 hours after beginning its trip?
363 km
161 km
86 km
484 km
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