graphical representation of motion
TRANSCRIPT
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GRAPHICAL
REPRESENTATIONOF
MOTION
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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?
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The possible graphs that could represent motion of
a body are:
1. _________________________
2. __________________________
d
t
v
t
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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 =______________________
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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?
__________________________
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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.
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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
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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
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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?
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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.
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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
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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.
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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
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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
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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.
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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
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THE END
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Sourav aggarwal
Xl-A
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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