Unit 2: Graphical Relationships Mrs. Hayen Physics.
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Transcript of Unit 2: Graphical Relationships Mrs. Hayen Physics.
![Page 1: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/1.jpg)
Unit 2: Graphical Relationships
Mrs. Hayen
Physics
![Page 2: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/2.jpg)
Physics Comp BookUNIT 2: Graphical RelationshipsCopy GPS listed on the LTA. Circle the verbs; underline the
nouns. Page Contents 10 Concept Map: Graphical Relationships 11 independent variable / dependent variable 12 x-axis, y-axis 13 slope / 14 Example: Translating Graphs 15 Lab SUMUPS:
* Moving Man Internet Lab* Running Man
p. 9
![Page 3: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/3.jpg)
Concept Map: Graphical Relationships
GraphingBasics Slope
on position vs. time
on velocity vs. time
on acceleration vs. time
= velocity!
= acceleration!
= zero(in our class)
•X-axis
•Y-axis
•independent & dependent variables
•Reading graphs
RiseRun
![Page 4: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/4.jpg)
Graphing Basics: Labeling the axes
Scientists have rules for choosing which variable is graphed on which axis.
On the X-axis (horizontal) is the independent variable
On the Y-axis (vertical) is the dependent variable
Which is the x-axis and which is y-axis?
![Page 5: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/5.jpg)
Graphing Basics:indep vs. dep variables So what are the independent
variable and dependent variables?
The independent variable is not affected by the changing dependent variable.
The dependent variable changes as the independent variable.
In other words, the dependent variable DEPENDS on the independent variable.
Independent or dependent? Time vs. position Time vs. velocity Time vs. acceleration
Where would these go on the graph?
![Page 6: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/6.jpg)
Graphing Basics: more on variables…
Time (as in a particular moment in time) is TYPICALLY the INDEPENDENT variable.
In this class, if time is graphed, it is on the x-axis.
Think about it: nothing stops time.
Time doesn’t change with speed; speed changes with time.
Independent or dependent? Time vs. position Time vs. velocity Time vs. acceleration
Where would these go on the graph?
![Page 7: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/7.jpg)
Frayer Models for: x, y axis & independent and dependent variables
Definition:
Examples:How to remember:
Picture:
![Page 8: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/8.jpg)
Graphing Basics: Slope
The slope of a line describes its steepness. It is the ratio of the vertical change (called the rise) to the horizontal change (called the run).
slope = rise vertical change run horizontal change
Let’s look at the slope of this line: We can use any two points on the
line (the slope of a line is constant). What is the rise? What is the run?
![Page 9: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/9.jpg)
Finding slope --practice
Another example: Find the slope— slope = rise vertical change
run horizontal change
![Page 10: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/10.jpg)
GRAPHING MOTIONUse a DISTANCE/TIME GRAPH
-Time = X axis
-Distance = Y axis
A graph of constant speed will represent the motion with a straight
lineTo show two constant speeds which are
different, you use SLOPE = steepness of the line =
speed
Steeper the slope = faster the speed
![Page 11: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/11.jpg)
Constant Versus Changing Speed
time
spee
d
time
spee
dCONSTANT SPEED CHANGING SPEED
![Page 12: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/12.jpg)
GRAPHING MOTION
A graph of changing speed will have a zig-zag or curved line
![Page 13: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/13.jpg)
Putting it all together
TIME
DIS
TA
NC
E
FASTEST CONSTANT SPEED
SLOWER CONSTANT SPEED
CHANGING SPEED
What is the slope of this part of the line?
![Page 14: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/14.jpg)
Putting it all together
10 20 300
200
600
1000
What is the average speed (slope) during the 10 min to 20 min period?
Change in distance = 1200-600 = 600m
Amount of time = 20-10 = 10 min
Avg. Speed = change in distance (600 m)
Amount of time (10 min)= 60 m/min
![Page 15: Unit 2: Graphical Relationships Mrs. Hayen Physics.](https://reader036.fdocuments.in/reader036/viewer/2022082405/56649e1a5503460f94b08691/html5/thumbnails/15.jpg)
Frayer for Slope
Definition:
How to calculate:
Picture:
What to remember:
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What does slope mean?