chapter 2 graphing motion example problems - doc …...77 2015 o ii rot aing the or ith hi noege o...
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77
© 20
15 Doc F
izzix
Produc
ts, Sa
ving t
he wo
rld w
ith his
knowle
dge of s
cience
Name Period Date
Chapter 2 Graphing Motion
Doc Fizzix Example Problems • Simple Motion Graphs
Example Problems
2.1 Simple Motion• Example 1:
- In each of the graphs bellow (distance vs time, velocity vs time, acceleration vs time), sketch the motion of an object that is traveling at constant velocity and moving away from a source.
Dis
tanc
e (m
)
Time (s)1 2 3 4 5 6 7 8 9 10
10
20
30
40
50
60
70
80
90
100
Velo
city
(m/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
Acc
eler
atio
n (m
/s/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
• Example 2: - In each of the graphs bellow, sketch the motion of an object that is traveling at
constant velocity and moving towards a source.
Dis
tanc
e (m
)
Time (s)1 2 3 4 5 6 7 8 9 10
10
20
30
40
50
60
70
80
90
100
Velo
city
(m/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
Acc
eler
atio
n (m
/s/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
• Example 3: - In each of the graphs bellow, sketch the motion of an object that is moving with
constant positive acceleration and moving away from a source. An example is an object going down a ramp.
Dis
tanc
e (m
)
Time (s)1 2 3 4 5 6 7 8 9 10
10
20
30
40
50
60
70
80
90
100
Velo
city
(m/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
Acc
eler
atio
n (m
/s/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
78
© 20
15 Doc F
izzix
Produc
ts, Sa
ving t
he wo
rld w
ith his
knowle
dge of s
cience
Name Period Date
Chapter 2 Graphing Motion
Doc Fizzix Example Problems • Simple Motion Graphs
• Example 4: - In each of the graphs bellow, sketch the motion of an object that is moving with
constant positive acceleration and moving towards a source. An example is an object going down a ramp.
Dis
tanc
e (m
)
Time (s)1 2 3 4 5 6 7 8 9 10
10
20
30
40
50
60
70
80
90
100
Velo
city
(m/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
Acc
eler
atio
n (m
/s/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
• Example 5: - In each of the graphs bellow, sketch the motion of an object that is moving with
constant negative acceleration and moving away from a source. An example is an object going up a ramp.
Dis
tanc
e (m
)
Time (s)1 2 3 4 5 6 7 8 9 10
10
20
30
40
50
60
70
80
90
100
Velo
city
(m/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
Acc
eler
atio
n (m
/s/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
• Example 6: - In each of the graphs bellow, sketch the motion of an object that is moving with
constant negative acceleration and moving towards a source. An example is an object going up a ramp.
Dis
tanc
e (m
)
Time (s)1 2 3 4 5 6 7 8 9 10
10
20
30
40
50
60
70
80
90
100
Velo
city
(m/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
Acc
eler
atio
n (m
/s/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
79
© 20
15 Doc F
izzix
Produc
ts, Sa
ving t
he wo
rld w
ith his
knowle
dge of s
cience
Name Period Date
Chapter 2 Graphing Motion
Doc Fizzix Example Problems • Simple Motion Graphs
• Example 7: - In each of the graphs bellow, sketch the motion of an object that is in free fall
moving and away from a source.D
ista
nce
(m)
Time (s)1 2 3 4 5 6 7 8 9 10
10
20
30
40
50
60
70
80
90
100
Velo
city
(m/s
)Time (s)
1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
Acc
eler
atio
n (m
/s/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
• Example 8: - In each of the graphs bellow, sketch the motion of an object that is moving away
from a source but accelerating back to the source such as an object thrown up into the air or an object given a push up a hill.
Dis
tanc
e (m
)
Time (s)1 2 3 4 5 6 7 8 9 10
10
20
30
40
50
60
70
80
90
100
Velo
city
(m/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
Acc
eler
atio
n (m
/s/s
)
Time (s)1 2 3 4 5 6 7 8 9 10
-40
-30
-20
-10
0
10
20
30
40
80
© 20
15 Doc F
izzix
Produc
ts, Sa
ving t
he wo
rld w
ith his
knowle
dge of s
cience
Name Period Date
Chapter 2 Graphing Motion
Doc Fizzix Example Problems • Simple Motion Graphs
81
© 20
15 Doc F
izzix
Produc
ts, Sa
ving t
he wo
rld w
ith his
knowle
dge of s
cience
Name Period Date
Chapter 2 Graphing Motion
Doc Fizzix Example Problems • Interpreting Distance vs Time Graphs
Example Problems
2.2 Interpreting Distance vs Time Graphs• Example 1:
- Use the following distance vs time graph to answer the questions bellow:
10
0
-10
0 1 2 3 4 5 6Time (s)
C
AB
C
D
E
F
1. Which segment(s) of the graph represent an object moving away from the detector?
2. Which segment(s) of the graph represent an object at rest?
3. Which segment(s) of the graph represent an object moving toward the detector?
4. Which segment of the graph represent an object moving away from the detector with the greatest speed?
5. Which segment of the graph represent an object moving toward the detector with the greatest speed?
6. Which segment of the graph represent an object moving away from the detector at the least speed?
7. Which segment of the graph represent an object moving toward the detector at the least speed?
82
© 20
15 Doc F
izzix
Produc
ts, Sa
ving t
he wo
rld w
ith his
knowle
dge of s
cience
Name Period Date
Chapter 2 Graphing Motion
Doc Fizzix Example Problems • Interpreting Distance vs Time Graphs
Use the graph of distance vs time graph bellow to answer questions 8 - 18
10
0
-10
0 1 2 3 4 5 6Time (s)
A
B
C
D
E
F
G
1. Which segment(s) is the object moving away from the source?
2. Which segment(s) is the object moving towards from the source?
3. Which segment(s) show the object having no motion?
4. Which segment(s) shows the object traveling at constant velocity?
5. Which segment(s) shows the object accelerating?
6. Which segment(s) shows the object traveling at constant positive velocity?
7. Which segment(s) shows the object traveling at constant negative velocity?
8. Which segment show the object moving with the greatest constant positive velocity?
9. Which segment show the object moving with the greatest constant negative velocity?
10. What is the average velocity of the object at 5.2 seconds?
83
© 20
15 Doc F
izzix
Produc
ts, Sa
ving t
he wo
rld w
ith his
knowle
dge of s
cience
Name Period Date
Chapter 2 Graphing Motion
Doc Fizzix Student Problems • Interpreting Distance vs Time Graphs
Student Problems
2.2 Interrupting Distance vs Time GraphsUse the graph of distance vs time graph bellow to answer questions 1 - 11
25
0
-25
0 2 4 6 8 10 12Time (s)
A
B
C
DE
F
G
H
1. Which segment(s) is the object moving away from the source?
2. Which segment(s) is the object moving towards from the source?
3. Which segment(s) show the object having no motion?
4. Which segment(s) shows the object traveling at constant velocity?
5. Which segment(s) shows the object accelerating?
6. Which segment(s) shows the object traveling at constant positive velocity?
7. Which segment(s) shows the object traveling at constant negative velocity?
8. Which segment show the object moving with the greatest constant positive velocity?
9. Which segment show the object moving with the greatest constant negative velocity?
10. What is the average velocity of the object at 5.2 seconds?
10
0
-10
0 1 2 3 4 5 6Time (s)
A
B
C
D
E
F
G
84
© 20
15 Doc F
izzix
Produc
ts, Sa
ving t
he wo
rld w
ith his
knowle
dge of s
cience
Name Period Date
Chapter 2 Graphing Motion
Doc Fizzix Student Problems • Interpreting Distance vs Time Graphs
Use the graph of distance vs time graph bellow to answer questions 12 - 22
5
0
-5
0 1 2 3 4 5 6Time (s)
A
B
C
D
E
F
G
H
1. Which segment(s) is the object moving away from the source?
2. Which segment(s) is the object moving towards from the source?
3. Which segment(s) show the object having no motion?
4. Which segment(s) shows the object traveling at constant velocity?
5. Which segment(s) shows the object accelerating?
6. Which segment(s) shows the object traveling at constant positive velocity?
7. Which segment(s) shows the object traveling at constant negative velocity?
8. Which segment show the object moving with the greatest constant positive velocity?
9. Which segment show the object moving with the greatest constant negative velocity?
10. What is the average velocity of the object at 5.2 seconds?