# Velocity vs time graphs ```5
4
3
=
2
1
5)
+3
9
18
6
16
3
= 3What’s
+3
6) 12 = –2 + 8
14
-10 -8 -6 -4 -2
2 4 6 8 10
-3
Name__________________________
-6
–8 –6 –2
–1 0
3 -2 -1 –51 2–3
3 4 –2
-9
-1
-12
-2
-3
-15
__________________________________
-4
-18
9
5
Ordered Pairs
-5
-21 below.
Determine the
4 point or ordered pair
6
10
0
2
8
Catalyst/Do Now
3
2
1
+2
-6 -5 -4 -3 -2 -1
-1
–1 0
1
2-2
-3
-4
-5
8)
1
2
=5
3
4
–10
4
3
2
1
11)
214. T (3,5)-1
304
6
4
-5 -4 -3 -2 -1
1
2
418 5
3
Solve the table-2 using the 16
function below.
3
14
-101)-8 (8,7)
-6 -4 -2 ______
2 4 6 8 10
-3
9)
-6
2) (7, 7) -9______
–8 –6 –4 -12–2
3) A ______
-15
-18
-21
4) N (___,___)
10
12
Worksheets
-5 -4 -3 [email protected]
1 2 3 4 5
15. U (9,12)
-2
3
451
-3
Super Teacher Worksheets - www.superteacherworksheets.com
-4
-5
-6
09.17.19
2
-18 -16 -14 -12 -10 -85)-6 (12,
-4 -2 10) 2______
-10
= –1 + 2
8)
= 5 -20
6) B (___,___)
-30
2 -1
1 2 3 4 5
-40
-1
–2 –1 0
1
2
–10 –8 –6 –4
-50
point is -2
located at each ordered pair.
-60
-3
______
2. (12,2) ______
3. (8,7)
______
Determine the position of the object at 20 seconds.
-70
-4
______
5. (7,7)
______
6. (0,10)
______
-80
-5 Time (sec) Position (m)
10
4
ordered-6
pair for each given point.
-90
3
08. L ____________10
-18 -16 -14 -12 -10 -8 -6 -4 -2
__________
9. J ____________
2
-10
__________
11. B ____________
12. E ____________
1
-20
1
157
llowing points on the coordinate grid.
–4 Period________
–2 0
2
4
10
=4 –4
8
6
–7
–6
–5
–4
4–3
2
-5 -4 -3 -2 -1
-2
1 2 3 4 5
8
4
-9 -8 -7 -6 -5 -4 -3 -2 -1
1
9)
= 4 – -44
-8
-12
–2
–7 –6 –5
-16
-20
Graph the information -24
from the
-28
–4
table above.
8
4
-32
2
-30
-40
-50
-60
-70
-80
-90
–3
-9 -8 -7 -6 -5 -4 -3 -2 -1
-4
-8
-12
-16
-20
-24
-28
1
-32
Use the graph and dot diagram to answer the following questions.
ntable Math Worksheets @ www.mathworksheets4kids.com
1. Calculate the acceleration of the
object during the first three seconds.
_______
2. What is the total distance traveled by
the object during the 5 seconds?
Determine the average velocity for
both objects when t=4 and t=7
The top object:
_________
3. Draw a motion diagram of the
The bottom object:
motion below.
l---------l---------l---------l---------l---------l
Mr. Harrington – [email protected]
1
Name ________________________________________________________
________________________________________________________
Name
Name__________________________
Lesson 14
14 Assessment
Assessment
Lesson
Date____________________
Date____________________
Period________
09.17.19
Exit Ticket
The graphs
graphs above
above represent
represent the
the position
position and
and the
the velocity
velocity of
of aa ball
ball as
as itit rolls
rolls down
down an
an inclined
inclined plane.
plane.
The
The graphs above represent the position and the velocity of a ball as it rolls down an inclined plane.
Describe
the motion
of the of
ball
inball
words.
What is the average speed for the ball from 0-30
a) Describe
Describe
the motion
motion
of
the
ball
in words.
words.
a)
the
the
in
seconds?
b) What
What isis the
the average
average speed
speed for
for the
the ball
ball for
for the
the time
time interval
interval 0-30
0-30 seconds?
seconds?
b)
c) What
What isis the
the speed
speed of
of the
the ball
ball at
at 10
10 seconds?
seconds? How
How did
did you
you get
get your
c)
d) What
What isis the
the acceleration
acceleration of
of the
the ball
ball during
during the
the first
first 55 seconds?
seconds? During
During the
the first
first 10
10 seconds?
seconds?
d)
e) Write
Write aa function
function v(t)
v(t) for
for the
the motion
motion represented
represented in
in the
the velocity
velocity versus
versus time
time graph.
graph.
e)
How fast
fast isis the
the ball
ball travelling
travelling after
after one
one minute?
minute?
f)f) How
What is the speed of the ball at 10 seconds? How did What is the acceleration of the ball during the first 5
seconds? First 10 seconds?
Write a function v(t) for the motion represented in
the velocity vs time graph.
Mr. Harrington – [email protected]
How fast is the ball traveling after one minute?
2
Name__________________________
Homework
Period________
09.17.19
Monday Re-Cap
epresent and Reason
aph below records the position versus time for an object.
The graph below shows the distance vs time for an object.
Describe the motion in words.
________________________________
________________________________
________________________________
________________________________
________________________________
________________________________
________________________________
________________________________
________________________________
!
e the motion
objectdiagram
in words.
Createofa the
motion
for this situation.
a motion diagram l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l
what time interval(s) is the object accelerating?
Place the correct time interval next to the correct
description.
what time interval(s) is the object at rest?
When is the object accelerating? ______________
What is the average velocity of the object at the
following time intervals?
0-5s ______________
what time interval(s) is the object traveling at constant velocity? 10-20s ______________
When is the object at rest? ______________
30-40s ______________
the average velocity for the following time intervals:
When is the object traveling at a constant velocity?
0-40s ______________
______________
0-10 s, 10-20 s, 30-40 s, and 0-50 s?
e velocity versus time graph for this object.
Mr.
Harrington
– [email protected]
PUM
| Kinematics
| Lesson!14:!Putting!It!All!Together
67
3
Name__________________________
Mr. Harrington – [email protected]
Period________
09.17.19
4
Name__________________________
Lesson 14: Putting it
and explain
all Together
Reason and Explain
ow records the position versus time for an object.
The graph below shows the distance vs time for an object.
09.17.19
Describe the motion in words.
Position vs. Time
Position (cm)
Period________
________________________________
70
________________________________
60
________________________________
50
________________________________
40
30
________________________________
20
________________________________
10
________________________________
0
0
10
20
30
40
50
60
________________________________
Time (s)
Place the correct time interval next to the correct
ibe the motion in words.
description.
________________________________
What is the average velocity of the object at the
following time intervals?
g what time interval(s) is the object at rest?
When is the object accelerating? ______________
0-10s ______________
g what time interval(s) is the object traveling at constant velocity?
10-20s ______________
g what time
is the
accelerating?
Wheninterval(s)
is the object
at object
rest? ______________
30-40s ______________
is the average
for the
following
intervals:
When isvelocity
the object
traveling
at a time
constant
velocity?
40-50s ______________
0-10 s, 10-20 s, 30-40 s, 40-50 s, and 50-60 s?
______________
50-60s______________
is the average velocity for the first 40 seconds?
is the average velocity for the first 50 seconds?
Find the average velocity for each interval (use your scratch paper).
is the average velocity for the first 60 seconds?
(g)The first 40 seconds
(h)The first 50 seconds
The first 60 seconds
object is at rest after 40 seconds, why is the average velocity different for part (g) and part (h)?
If the object is at rest after 40 seconds, why is the average velocity different for part (g) and part (h)?
UM | Kinematics | Lesson 14: Putting it all Together
apted fromMr.
A. Van
Heuvelen– and
E. Etkina, Active Learning Guide, Addison Wesley, San Francisco, 2006
Harrington
[email protected]
Copyright 2008, Rutgers, The State University of New Jersey.
5
Name__________________________
If you have
a motion detector, use it and your own motion to create a graph that matches the one above.
Discuss why you were or were not able to reproduce this exact graph.
Period________
09.17.19
Reason and Explain 2.0
14.2 Represent
andbelow
Reasonshows the distance vs time for an object.
The graph
Describe the motion in words.
________________________________
________________________________
________________________________
________________________________
________________________________
________________________________
________________________________
________________________________
________________________________
!
Describe the motion in words.
Place the correct time interval next to the correct
description.
Create a motion diagram for this situation
What is the velocity of the object at the following
When is the object accelerating? ______________
During what
time
is the acceleration
object accelerating?
Acceleration zero? Object10s
at rest?
Traveling at
When
isinterval(s)
the object’s
is zero?
_______
constant velocity?
15s _______
______________
What is When
the velocity
of the
objectat
at rest?
the following
is the
object
______________
45sknow.
_______
55s _______
10 s, 15 s, 20 s, 25 s, 45 s, and 55 s?
When is the object traveling at a constant velocity?
Calculate the acceleration of the object for the following time intervals:
______________
0-10
s, 10-20s, 20-40 s, 40-50 s, and 50-60 s.
Calculate the acceleration of the object at the following time intervals (use scratch paper):
0-10s
10-20s
20-40s
40-50s
50-60s
M | Kinematics | Lesson!14:!Putting!It!All!Together
opyright 2014, Rutgers, The State University of New Jersey.
Mr. Harrington – [email protected]
6
Name__________________________
Homework
Period________
09.17.19
Practice
ice
below records the position versus time for an object.
The graph below shows the distance vs time for an object.
Describe the motion in words.
Position (cm)
Position vs. Time
________________________________
120
________________________________
100
________________________________
80
________________________________
60
________________________________
40
________________________________
20
________________________________
0
0
10
20
30
40
50
Time (s)
________________________________
________________________________
cribe the
motion
the object
words. next to the correct
Place
theof
correct
timeininterval
description.
ing what time interval(s) is the object accelerating?
What is the average velocity of the object at the
following time intervals?
When
the object
accelerating?
______________
ing what
time is
interval(s)
is the
object at rest?
0-10s ______________
ing what time interval(s) is the object traveling at constant velocity?10-20s ______________
When is the object at rest? ______________
at is the average velocity for the following time intervals:
30-40s ______________
is the
objects,traveling
0-10When
s, 10-20
s, 30-40
and 40-50ats?a constant velocity?
40-50s ______________
______________
w the velocity
versus time graph for this object.
PUM | Kinematics | Lesson 14: Putting it all Together
Adapted from A. Van Heuvelen and E. Etkina, Active Learning Guide, Addison Wesley, San Francisco, 2006
Mr. Harrington – [email protected]
7
Name__________________________
Period________
09.17.19
Practice 2.0
e
ow records the velocity versus time for the object in activity 14.1.
The graph below shows the distance vs time for an object.
Describe the motion in words.
Velocity (cm/s)
Velocity vs. Time
________________________________
________________________________
4.5
4
3.5
3
2.5
2
1.5
1
0.5
0
________________________________
________________________________
________________________________
________________________________
________________________________
0
10
20
30
40
50
60
________________________________
Time (s)
g what time interval(s) is the object accelerating?
Place the correct time interval next to the correct
g what time interval(s) is the acceleration zero?
description.
________________________________
What is the velocity of the object at the following
g what time interval(s) is the object at rest?
When is the object accelerating? ______________
10s _______
g what time interval(s) is the object traveling at constant velocity?
When is the object’s acceleration is zero?
25s _______
is the velocity of the object at the following clock readings:
______________
55s _______
10 s, 15 s, 20 s, 25 s, 45 s, and 55 s? Explain how you know.
15s _______
45s _______
is the object
at rest?for
______________
late the When
acceleration
of the object
the following time intervals:
object
at a constant velocity?
0-20 s,When
20-40iss,the
and
40-60traveling
s.
the function
v(t) for the time interval 0-20 s.
______________
Calculate the acceleration of the object at the following time intervals (use scratch paper):
0-20s
20-40
40-60s
Write the function v(t) for the time interval 0-20s.
Mr. Harrington – [email protected]
PUM | Kinematics | Lesson 14: Putting it all Together 49
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