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 3 blocks North, 5 blocks East, 5 blocks South, and finally 8 blocks West in order to deliver a package in the traffic, congested city. If his trip took 42 minutes, what was the magnitude of his average velocity in blocks/minute?

5 x 10^-13.61 x 10⁰2.1 x 10¹1.19 x 10^-18.58 x 10^-2

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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?

151.0 deg213.7 deg146.3 deg209.0 deg123.7 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 linetraveling in successive
directions that change by 90ºstanding stilltraveling in a circle

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Question 4 A scalar is a quantity that can be completely described by stating its

size and directiondirectionsize

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Question 5 A family taking a vacation traveled 5 hours at 65 mph and then 3 hours at only 50 mph. What was their average speed during this trip?

55.6 mph50.6 mph57.5 mph59.4 mph

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Question 6 Which quantity is NOT a scalar?

accelerationmassdistancetime

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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 84 meters at 1.5 m/sec, then runs 252 meters at 2.2 m/sec, and finally cools down by finishing the final 64 meters at 1.0 m/sec. What was his average speed?

1.86 m/sec2.35 m/sec1.57 m/sec1.71 m/sec

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

cannot be determinedthe same as his average speed0 m/sec

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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 DA and CB and CC and DB and D

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Question 11 A moving van completes its journey of 630 kilometers in 8 hours. Approximately how far should it have traveled 5.5 hours after beginning its trip?

197 km115 km298 km433 km