graphs where the object undergoes sequence. we will look at position-time graphs where the object...
Transcript of graphs where the object undergoes sequence. we will look at position-time graphs where the object...
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Now,
we will look at position-time
graphs where the object undergoes
different types of motion in
sequence.
You will want to refer to the previous notes regarding shapes
and slopes!
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timeinterval directionofmotion d1 d2 dintervaldtotalfromt=0s
Dtotalfromt=0s
units>
0.0s8.0s
8.0s14.0s14.0s17.0s17.0s19.0s
Whatwastheobject'smaximumspeedduringtheentiremotion?_________
Whatwastheobject'saveragevelocityfortheentiremotion?___________
Whatwastheobject'saveragespeedfortheentiremotion?___________
dm[E]
t(s)2 4 6 8 10 12
2
4
6
8
10
12
2
4
014 16
Position-Time Graph: Ex. 1
putinunitsandallvectorsgetdirections
straightlines
constantvelduringthesetimeintervals
V=d
t
d?dod2d1readposition
from
graph
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dm[E]
t(s)2 4 6 8 10 12
2
4
6
8
10
12
2
4
014 16
Position-Time Graph: Ex. 1
timeintervaldirectionofmotion
d1 d2 dinterval dtotalfromt=0sDtotalfromt=0s
units>
0.0s8.0s
8.0s14.0s
14.0s17.0s
17.0s19.0s
Whatwastheobject'smaximumspeedduringtheentiremotion?_________
Whatwastheobject'saveragevelocityfortheentiremotion?___________
Whatwastheobject'saveragespeedfortheentiremotion?___________
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dm[E]
t(s)2 4 6 8 10
2
4
6
2
4
0 1 3 5 7 9
Position-Time Graph: Ex. #2
Interval
Directionofmotion
dinterval tinterval v interval d total fromt=0svtotalfromt=0s
units>
A
B
C
D
E
F
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dm[E]
t(s)2 4 6 8 10
2
4
6
2
4
0 1 3 5 7 9
Position-Time Graph: Ex. #2
Interval
Directionofmotion
dinterval tinterval v interval d total fromt=0svtotalfromt=0s
units>
A
B
C
D
E
F
dinitial
d = dend of - dinitial
interval
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Twopeoplearemoving....shownby
differentcolouredlines.Fillinthetableforeachperson.
ea
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t direction dinterval
m m[E] m[E] m m/s[E]
0.02.0
2.06.0
6.010.0
10.013.013.016.0
dtotal Dinterval Dtotal Vinterval
t direction dinterval
10.012.012.014.514.516.0
dtotal Dinterval Dtotal Vinterval
s
s
0.03.0
3.06.0
6.09.0
9.010.0
Person1
Person2
m
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t direction dinterval
m[E] m[E] m m m/s[E]
0.02.0 E 4.0 4.0 4.0 4.0 2.0
2.06.0 atrest 0 4.0 0 4.0 0
6.010.0 W 4.0 0 4.0 8.0 1.0
10.013.0 W 3.0 3.0 3.0 11.0 1.0
13.016.0 atrest 0 3.0 0 11.0 0
dtotal Dinterval Dtotal Vinterval
t direction dinterval
m[E] m[E] m m m/s[E]
atrest 0 0 0 0 0
E 3.0 3.0 3.0 3.0 1.0
atrest 0 3.0 0 3.0 0
E 1.0 4.0 1.0 4.0 1.0
10.012.0 atrest 0 4.0 0 4.0 0
12.014.5 E 3.0 7.0 3.0 7.0 1.2
14.516.0 atrest 0 7.0 0 7.0 0
dtotal Dinterval Dtotal Vinterval
s
s
0.03.0
3.06.0
6.09.0
9.010.0
Person1
Person2
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d
t0
d
t0
d
t0
d
t0
d
t0
d
t0
d
t0
d
t0
d
t0
a) b) c)
d) e) f)
g) h) i)
X
X
X
X
X
XX
Y
Y
YX
Y
Y Y
o oo o o
o
o o
X Y YY
MatchtheDescriptionstotheGraphs
Statements Applicabletographs....
a)CarXmovedatafasterspeedthancarY. abcdefghi
b)Boththecarsmovedatthesamespeed. abcdefghi
c)Boththecarsstartedatthesametime. abcdefghi
d)CarYwasovertaken(passedmovinginthe
samedirection)bycarX. abcdefghi
e)WhencarXreachedcarY,carYstarted. abcdefghi
f)CarXandcarYstartedfromthesameplace
atthesametime. abcdefghi
g)CarYstartedmovingearlierthancarX. abcdefghi
h)CarsXandYwentinoppositedirections. abcdefghi
Readstatement.Ifitistrueforagraph,circletheletter.Somestatementshavemanygraphsthatillustrateit.Somestatementsmayhavenomatchinggraphs.
speed
hasnodirection
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Trytodrawthefollowinggraphs
basedonthedescriptiongiven.
Slopesdomatter.Theslopeequalsthe
velocityoftheobject.
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PHY521 SketchtheFollowingGraphs
1.Anobjectatrestfor10.0s.
2.Anobjectmovingtotherightataconstantvelocity.
3.Anobjectmovingtotheleftwithauniformmotion.
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6.Anobjectmovesfrom3.0m[right]to2.0m[left]at1.0m/s,andthenstops.
5.Anobjectstartsat2.0m[right]andmovesto+2.0m[right]in5.0s.
4.Anobjectisatrestfor3.0sandthenstartsmovingtotherightat2.0m/s.
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PHY521 SketchtheFollowingGraphs
1.Anobjectatrestfor10.0s.
2.Anobjectmovingtotherightataconstantvelocity.
3.Anobjectmovingtotheleftwithauniformmotion.
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6.Anobjectmovesfrom3.0m[right]to2.0m[left]at1.0m/s,andthenstops.
5.Anobjectstartsat2.0m[right]andmovesto+2.0m[right]in5.0s.
4.Anobjectisatrestfor3.0sandthenstartsmovingtotherightat2.0m/s.
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Attachments
2.3w1dtgraphs.docx
Physics 521
Unit 1: Kinematics
2.3 Displacement Time Graphs Worksheet #1
For each graph:
a) read the graph (determine position) at the start of the graph, in the middle of the graph, and at the end of the graph.
b) get the slope of the graph (where slope = instantaneous velocity) at the start of the graph, in the middle of the graph, and at the end of the graph.
c) describe the motion of the object in words.
d) be careful of the scale of the graph, and watch your units.
The first one is done for you as an example.
1.)
a) 1 = -5.0 m, 2 = 5.0 m, 3 = -5.0 m
b) 1 = +2.5 m/s, 2 = 0 m/s, 3 = -2.5 m/s
c) object begins 5.0 m to the left of the origin, moves to the right with uniform motion at 2.5 m/s, stops for 4s,then moves to the left with uniform motion at 2.5m/s.
2.) 1 = ________, 2 = ________, 3=________
1 = ________, 2 = ________, 3 =________
Description: ______________________________________
______________________________________
______________________________________
______________________________________
3.)
1 = ________, 2 = ________, 3=________
1 = ________, 2 = ________, 3 = _______
Description: ______________________________________
______________________________________
______________________________________
______________________________________
4.)1 = ________, 2 = ________, 3=________
1 = ________, 2 = ________, 3 = _______
Description: ______________________________________
______________________________________
______________________________________
______________________________________
5.)1 = ________, 2 = ________, 3 = _______
1 = ________, 2 = ________, 3 = _______
Description: ______________________________________
______________________________________
______________________________________
______________________________________
6.)1 = ________, 2 = ________, 3 = _______
1 = ________, 2 = ________, 3=________
Description: ______________________________________
______________________________________
______________________________________
______________________________________
7.)1 = ________, 2 = ________, 3=________
1 = ________, 2 = ________, 3 = _______
Description: _____________________________________
______________________________________
_____________________________________
8.) Sketch the following d-t graphs in the space provided.
a) An object stopped
b) An object moving to the right with uniform motion
c) An object moving to the left with uniform motion
d) An object stops for 3.0 s and then moves right at 2.0 m/s
e) An object starts at -2.0 m and moves to +2.0 m in 5.0 s.
f) An object moves from +3.0 m to -2.0 m at -1.0 m/s, and then stops.
d(m)
t(s)
3.0
-3.0
0.25
0.15
0.20
0.30
0.05
0.10
d(m)
t(s)
10
6.0
-6.0
0
d(m)
t(s)
5
10
15
-15
d(km)
t(hr)
0.5
1.0
120
-120
d(km)
t(hr)
0.5
1.0
120
-120
d(m)
t(s)
5
10
15
-15
d(m)
t(s)
5
10
15
-15
d(m)
t(s)
10
15
-15
SMART Notebook
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