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!

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

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?___________

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

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

Twopeoplearemoving....shownby

differentcolouredlines.Fillinthetableforeachperson.

ea

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

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

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

Trytodrawthefollowinggraphs

basedonthedescriptiongiven.

Slopesdomatter.Theslopeequalsthe

velocityoftheobject.

PHY521 SketchtheFollowingGraphs

1.Anobjectatrestfor10.0s.

2.Anobjectmovingtotherightataconstantvelocity.

3.Anobjectmovingtotheleftwithauniformmotion.

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.

PHY521 SketchtheFollowingGraphs

1.Anobjectatrestfor10.0s.

2.Anobjectmovingtotherightataconstantvelocity.

3.Anobjectmovingtotheleftwithauniformmotion.

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.

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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