graphical representation of motion

8/3/2019 Graphical Representation of Motion

1/23

GRAPHICAL

REPRESENTATIONOF

MOTION


2/23

EVE MAVIC IDA

ROSE

DISTANCE

TIME

The graph shows four beautiful runners. Basing

from the graph, who is the winner? Why?

Why do they have different shapes of graphline?


3/23

The possible graphs that could represent motion of

a body are:

1. _________________________

2. __________________________

d

t

v

t


4/23

Example:

d(m) t(s)

50 10100 20

150 30

0 10 20 30 40 50

200

150

100

50

0

d

t

1

2

Slope1 = y2-y1x2-x1

=_______________________

Slope2 = y2-y1x2-x1 =______________________


5/23

What did you notice about the computed

slopes whose units are in m/s?

_____________________

Since the speeds are the same, what kind of

motion is shown in the straight-line d-t graph?

__________________________


6/23

So, if the distance-time (d-t) graph is:

____________________

________________

1.

2.


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__________________

__________________

3.

4.


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______________________

_______________________

5.

6.


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__________________________

________________

7.

8.


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________________________

________________________

9.

10.


11/23

From the different shapes of a d-t graph, a

combination maybe possible to depict various

changes in motion

0

B

C

DE

F

G H

d

tA


12/2317-12

Isaac Newton, 1642-1727

In 1666, our old friend, Isaac Newton, was musing

on the motions of heavenly bodies while sitting in agarden in Lincolnshire England, where he had gone

to escape the plague then ravaging London.

What if the force of gravity, the same force that causes an apple to

fall to the ground in this garden, extends much further than usually

thought? What if the force of gravity extends all the way to themoon? Newton began to calculate the consequences of his

assumption


13/23

Interpret the different points in the graph:

0 - A ___________________________

A - B ___________________________

B - C ___________________________

C - D ___________________________

D - E ___________________________

E - F ___________________________

F - G ___________________________

Can you create a story out of the various graph

lines?


14/23

Example:MY WAY TO SCHOOL

I traveled with uniform speed (0-A) going toNagtahan until I approached a stop light before

the bridge so I stopped (A-B). Upon climbing the

bridge I stepped on the gas pedal and the car

accelerated (B-C). But a heavy traffic is building

up in Lacson St. so I stopped (C-D). Finally I

approached the high school building so I decreased

the speed (D-E) but noticed that I left my bag, so, Idrove back uniformly to Dapitan gate (E-F). Then

I saw my son holding my bag along the street so I

stopped (F-G) and got my bag.


15/23

Can you make your own story out of the various

graphlines of a d-t graph?

Were you in this situation before?Youre walking from your house in Lacson St. to the

high school building. Upon reaching your classroom

you noticed that the calculator you borrowed fromyour classmate was left at home and only your

calculator is inside your bag. Your classmate is

going to use it at 7am for your physics exam. No

calculator, no exam! You decided to go back toyour house since there is still enough time. Upon

coming back you encountered an old woman who

fainted near you. No other person in the vicinity


16/23

17-16

rr

mmGF

2

21

The meaning of each term:F

: Gravitational force on object 1 from object 2.G : Universal gravitational constant = 6.673 x 1011 N m2/kg2.

1m : Mass of object 1.

2m : Mass of object 2.2r : Center distance from object 1 to object 2, squared.

r: Unit vector from object 1 to object 2.


17/23

except you and the old woman. If you leave the

old woman your classmate can take the test. If you

assist her your classmate will get zero. What willyou do and why? Are you accountable to any of

them?

Choose your partner and sit together in one place.

Get a graphing paper and write your names on it.Make a d-t graph showing at least 5 different

graphlines and describe each. Write a story line out

of the graphlines chosen.

ACTIVITY


18/23

Choose a partner and sit together in one place.

Prepare a graphing paper as your answer sheetAnswer the questions in the activity sheet

2 4 6 8 10 11 12 13 14

20

15

10

5

25

0

A

B

C

D

E

F

d

t

ACTIVITY


19/23

5. At what time interval is the distance traveled by

the car greatest? Explain.

1. Is speed constant during any time interval?

Explain.

2. At what time is the speed greatest?

3. At what time interval does the car go backward?

Explain.

4. At which of the labeled points on the graph is

the magnitude of the speed greatest? Explain.


20/23

SHARING OF ANSWERS INFRONT OF THE CLASS

To summarize important points:

2. The equation to calculate speed is v = d/t

3. A distance-time graph shows the distance

traveled plotted against time

4. A faster speed is shown by a steeper line5. When the line is horizontal the object is not

moving.

CAN YOU ADD OTHER IMPORTANT CONCEPT?

1. Speed is the rate at which object covers distance


21/23

THE END


22/23

Sourav aggarwal

Xl-A


23/23

17-23

Isaac Newton, 1642-1727

In 1666, our old friend, Isaac Newton, was musing

on the motions of heavenly bodies while sitting in agarden in Lincolnshire England, where he had gone

to escape the plague then ravaging London.

What if the force of gravity, the same force that causes an apple to

fall to the ground in this garden, extends much further than usually

thought? What if the force of gravity extends all the way to themoon? Newton began to calculate the consequences of his

assumption

graphical representation of motion

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