1. GRAPHICAL
REPRESENTATION OF
MOTION

2. The graph shows four beautiful runners. Basing
EVE
MAVIC
IDA D I S T A N C E
ROSE
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. The possible graphs that could represent motion of a body are:
_________________________
2. __________________________ d t v t

4. Example: d(m) t(s) 10 20 30 Slope1 = y2-y1 x2-x1
200
150
100 50 2 1 t
Slope1 = y2-y1
x2-x1
=_______________________
=______________________
Slope2 = y2-y1
x2-x1

5. __________________________
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. ____________________
So, if the distance-time (d-t) graph is: 1.
____________________ 2.
________________

7. 3.
__________________ 4.
__________________

8. _______________________5.
______________________ 6.
_______________________

9. __________________________7.
__________________________ 8.
________________

10. ________________________9.
________________________
10.
________________________

11. From the different shapes of a d-t graph, a
combination maybe possible to depict various
changes in motion F d D B E C G H A t

12. Interpret the different points in the graph:
___________________________
A - B
___________________________
B - C
___________________________
C - D
___________________________
D - E
___________________________
E - F
___________________________
F - G
___________________________
Can you create a story out of the various graph lines?

13. bridge I stepped on the gas pedal and the car
Example:
MY WAY TO SCHOOL
I traveled with uniform speed (0-A) going to Nagtahan 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, I drove 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.

14. Can you make your own story out of the various
graphlines of a d-t graph?
Were you in this situation before?
You’re walking from your house in Lacson St. to the
high school building. Upon reaching your classroom
you noticed that the calculator you borrowed from
your 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 to your 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

15. except you and the old woman
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 will you do and why? Are you accountable to any of them?
ACTIVITY
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.

16. Choose a partner and sit together in one place.
ACTIVITY
Choose a partner and sit together in one place.
Prepare a graphing paper as your answer sheet
Answer the questions in the activity sheet d D 25 20 15 E C 10 A 5 B F t

17. 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.
5. At what time interval is the distance traveled by
the car greatest? Explain.

18. SHARING OF ANSWERS INFRONT OF THE CLASS
To summarize important points:
1. Speed is the rate at which object covers distance
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 line
5. When the line is horizontal the object is not
moving.
CAN YOU ADD OTHER IMPORTANT CONCEPT?

19. THE END