Description of Motion - Scalar vs Vector Quantities

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, 4 blocks East, 6 blocks South, and finally 10 blocks West in order to deliver a package in the traffic, congested city. If his trip took 38 minutes, what was the magnitude of his average velocity in blocks/minute?

1.66 x 10^-12.11 x 10^-16.32 x 10⁰6.32 x 10^-12.4 x 10¹

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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?

108.4 deg198.4 deg162.5 deg197.5 deg161.6 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

standing stilltraveling in a circletraveling in a
straight linetraveling 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

directionsizesize and direction

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Question 5 A family taking a vacation traveled 4 hours at 65 mph and then 4 hours at only 49 mph. What was their average speed during this trip?

57.0 mph57.0 mph57.0 mph50.8 mph

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Question 6 Which quantity is NOT a scalar?

timemassdistanceacceleration

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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 directionthe two terms are completely equivalentconstant 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 76 meters at 1.5 m/sec, then runs 228 meters at 2.2 m/sec, and finally cools down by finishing the final 96 meters at 1.0 m/sec. What was his average speed?

2.35 m/sec1.60 m/sec1.57 m/sec1.78 m/sec

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Question 9 What was the student's average velocity in Question #8?

cannot be determined0 m/secthe 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 DB and DB and CA and CC and D

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Question 11 A moving van completes its journey of 570 kilometers in 10 hours. Approximately how far should it have traveled 8 hours after beginning its trip?

456 km71 km365 km114 km