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, 5 blocks East, 8 blocks South, and finally 9 blocks West in order to deliver a package in the traffic, congested city. If his trip took 37 minutes, what was the magnitude of his average velocity in blocks/minute?

7.03 x 10^-12.6 x 10¹1.53 x 10^-12.16 x 10^-15.66 x 10⁰

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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?

144.7 deg135.0 deg225.0 deg135.0 deg215.3 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 linetraveling in a circletraveling in successive
directions that change by 90ºstanding still

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

size and directionsizedirection

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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 mph57.0 mph52.6 mph56.0 mph

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Question 6 Which quantity is NOT a scalar?

distanceaccelerationmasstime

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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?

the two terms are completely equivalentconstant speed since it demands that the object
has to maintain a constant rate
regardless of its direction of motionconstant velocity since it demands that the object
not only move at a constant rate,
but also maintain a constant direction

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Question 8 A student warming up for practice travels one full circuit, 400 meters, around the track. Initially he jogs 74 meters at 1.5 m/sec, then runs 222 meters at 2.2 m/sec, and finally cools down by finishing the final 104 meters at 1.0 m/sec. What was his average speed?

2.35 m/sec1.57 m/sec1.76 m/sec1.57 m/sec

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

0 m/secthe same as his average speedcannot be determined

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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 DC and DA and CB and CB and D

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Question 11 A moving van completes its journey of 555 kilometers in 9 hours. Approximately how far should it have traveled 6.5 hours after beginning its trip?

401 km85 km154 km289 km