1. The position versus time graph at right represents the motion of an object moving in a straight line. a. Describe the motion. Velocity During which periods of time, if any, is the velocity constant? Explain how you can tell. b. Find the object's instantaneous velocity at each of the following times. Show your work. C. i. 1 = 0.5 s Position (centimeters) 10 8 4 2 A ii. t = 2.0 s 1 B 2 с K 3 Time (seconds) 4 For each of the following intervals, find the average velocity of the object. i. between A and C ii. between A and D iii. = 4.0 s How does the method you used to answer parts i-iii rely on your answer to part a? 5 iii. between B and D

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3:34 PM Tue Sep 13
X 02487e265e92738af6e35f1b0c765cfd
C
VELOCITY
Velocity
1. The position versus time graph at right
represents the motion of an object
moving in a straight line.
Describe the motion.
a.
bd15f1f97a0b8b03da613a08baa1dd91
During which periods of time, if
any, is the velocity constant?
Explain how you can tell.
b. Find the object's instantaneous
velocity at each of the following
times. Show your work.
i. t = 0.5 s
Position (centimeters)
10
2
A
ii. t = 2.0 s
Tutorials in Introductory Physics
McDermott, Shaffer, & P.E.G., o. wash.
1
2
Name
C
= @ ◊ +
3
Time (seconds)
4
c. For each of the following intervals, find the average velocity of the object.
ii. between A and D
i. between A and C
ch05_converted
How does the method you used to answer parts i-iii rely on your answer to part a?
D
iii. = 4.0 s
5 6
iii. between B and D
On the graph above, sketch and label the lines that would represent an object moving with
constant velocity between each of the pairs of points in parts i-iii.
☎ 79%
For each line that you drew, how does the slope compare to the average velocity that you
computed above?
d. In which of the cases from part c, if any, is the average velocity over an interval equal to the
average of the constant velocities occurring in that interval? [For example, is Ac (the average
velocity from A to C) equal to 1/₂AB + BC)?]
AC
OPrentice Hall, Inc.
First Edition, 2002
Mech
HW-3
11
166
Transcribed Image Text:3:34 PM Tue Sep 13 X 02487e265e92738af6e35f1b0c765cfd C VELOCITY Velocity 1. The position versus time graph at right represents the motion of an object moving in a straight line. Describe the motion. a. bd15f1f97a0b8b03da613a08baa1dd91 During which periods of time, if any, is the velocity constant? Explain how you can tell. b. Find the object's instantaneous velocity at each of the following times. Show your work. i. t = 0.5 s Position (centimeters) 10 2 A ii. t = 2.0 s Tutorials in Introductory Physics McDermott, Shaffer, & P.E.G., o. wash. 1 2 Name C = @ ◊ + 3 Time (seconds) 4 c. For each of the following intervals, find the average velocity of the object. ii. between A and D i. between A and C ch05_converted How does the method you used to answer parts i-iii rely on your answer to part a? D iii. = 4.0 s 5 6 iii. between B and D On the graph above, sketch and label the lines that would represent an object moving with constant velocity between each of the pairs of points in parts i-iii. ☎ 79% For each line that you drew, how does the slope compare to the average velocity that you computed above? d. In which of the cases from part c, if any, is the average velocity over an interval equal to the average of the constant velocities occurring in that interval? [For example, is Ac (the average velocity from A to C) equal to 1/₂AB + BC)?] AC OPrentice Hall, Inc. First Edition, 2002 Mech HW-3 11 166
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