notes #6 graphing motion eq : what can a distance /time graph show you?
TRANSCRIPT
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NOTES #6
GRAPHING MOTIONEq : what can a distance /time
graph show you?
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1. WHAT DOES THE SLOPE OF A LINE SHOW?
• Slope= steepness of the line Steeper slope = greater speed
• The line represents the SPEED OF THE OBJECT
FASTER
SLOWER
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2. HOW DO YOU CALCULATE SLOPE?
FIND THE RISE
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2. HOW DO YOU CALCULATE SLOPE?
Find THE RISE (Y)
AND DIVIDE BY THE RUN (X)
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2. HOW DO YOU CALCULATE SLOPE?
SLOPE = RISE RUN
THEREFORE:
SLOPE = DISTANCE TIME
RISE
RUNSLOPE = SPEED
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2. HOW DO YOU CALCULATE SLOPE?
LET’S PRACTICE
1. PICK ANY POINT
2. FIND THE “RISE”
3. DIVIDE BY THE “RUN”
15m
3s
SLOPE = 5 m/s
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3. WHAT IS THE PURPOSE OF A DISTANCE-TIME GRAPH?
(COPY THE DATA TABLE)
Turtle’s Position and TimeTOTAL TIME (SEC) TOTAL DISTANCE (CM)
0 0
20 40
40 80
60 120
80 160
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3. WHAT IS THE PURPOSE OF A DISTANCE-TIME GRAPH?
•D/T GRAPHS SHOW MOTION OF OBJECTS
SPEED IS CONSTANT
0 20 40 60 80
160
120
80
40
TIME (SEC)
DISTANCE
(CM)
(SKETCH THIS GRAPH)
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3. WHAT IS THE PURPOSE OF A DISTANCE-TIME GRAPH?
USE RISE/RUN (D/T) TO FIND THE SPEED OF THE OBJECT
0 20 40 60 80
160
120
80
40
TIME (SEC)
DISTANCE
(CM)
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4. WHAT CAN A POSITION-TIME GRAPH TELL YOU ABOUT SPEED?
NOT MOVING
MOVING BACK TOWARD START
MOVING AWAY AND ACCELERATING
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4. WHAT CAN A POSITION-TIME GRAPH TELL YOU?
(MAKE A T-CHART )
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4. WHAT CAN A POSITION-TIME GRAPH TELL YOU?
CONSTANT SPEED AWAY FROM START.
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4. WHAT CAN A POSITION-TIME GRAPH TELL YOU?
CONSTANT SPEED BACK TOWARD STARTING POINT.
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4. WHAT CAN A DISTANCE-TIME GRAPH TELL YOU?
ACCELERATING AWAY FROM START
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4. WHAT CAN A POSITION-TIME GRAPH TELL YOU?
1.CONSTANT VELOCITY AWAY
2. NO MOTION
3. CONSTANT VELOCITY BACK TOWARD START
12
3
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5. WHAT IS THE PURPOSE OF A VELOCITY-TIME GRAPH?
VELOCITY
(m/s)
TIME (s)
•VELOCITY-TME GRAPHS SHOW THE
ACCELERATION OF AN OBJECT, OR
HOW ITS SPEED CHANGES OVER
TIME
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5. WHAT IS THE PURPOSE OF A VELOCITY-TIME GRAPH?
Copy the data table and fill in the missing velocities
Turtle’s Position, Time, and VelocityDISTANCE (m) TIME (s) VELOCITY (m/s)
0 0
40 20
80 40
120 60
160 80
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5. WHAT IS THE PURPOSE OF A VELOCITY-TIME GRAPH?
Turtle’s Position, Time, and Velocity
DISTANCE (m) TIME (s) VELOCITY (m/s)
0 0 0
40 20 2
80 40 2
120 60 2
160 80 2
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5. WHAT IS THE PURPOSE OF A VELOCITY-TIME GRAPH?
Plot the points on a velocity-time graph.
Turtle’s Position, Time, and VelocityDISTANCE (m) TIME (s) VELOCITY (m/s)
0 0 0
40 20 2
80 40 2
120 60 2
160 80 2
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5. WHAT IS THE PURPOSE OF A VELOCITY-TIME GRAPH?
VELOCITY IS CONSTANT
0 20 40 60 80
4
3
2
1
TIME (SEC)
VELOCITY
(m/s)
SLOPE =rise = run
THEREFORE… SLOPE =ACCELERATION
0_ =020
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REMEMBER…A. POSITION-TME GRAPHS COMPARE THE
MOTIONS AND SPEEDS OF OBJECTS
VELOCITY IS CONSTANT
0 20 40 60 80
160
120
80
40
TIME (SEC)
DISTANCE
(CM)
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POSITION-TME GRAPHS COMPARE THE MOTIONS AND SPEEDS OF OBJECTS
•VELOCITY-TME GRAPHS COMPARE THE MOTION AND ACCELERATION OF OBJECTS
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6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU?
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6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU?
OBJECT SPEEDING UP(ACCELERATION)
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6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU?
Object is slowing down (decelerating)
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6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU?
velocity is constant.
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6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU?
Velocity is zero. Object is at rest
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6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU?
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COMPARING P/T GRAPHS TO V/T GRAPHSTYPE OF MOTION POSITION/TIME
GRAPH (SPEED)
VELOCITY/TIME GRAPH
(ACCELERATION)
OBJECT AT REST(NO MOTION)
OBJECT MOVING AT CONSTANT SPEED
OBJECT SPEEDING UP
OBJECT SLOWING DOWN
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COMPARING P/T GRAPHS TO V/T GRAPHS
TYPE OF MOTION POSITION/TIME GRAPH
(SPEED)
VELOCITY/TIME GRAPH
(ACCELERATION)
OBJECT AT REST(NO MOTION)
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COMPARING P/T GRAPHS TO V/T GRAPHS
TYPE OF MOTION POSITION/TIME GRAPH
(SPEED)
VELOCITY/TIME GRAPH
(ACCELERATION)
OBJECT AT REST(NO MOTION)
FED
A B C
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COMPARING P/T GRAPHS TO V/T GRAPHS
TYPE OF MOTION POSITION/TIME GRAPH
(SPEED)
VELOCITY/TIME GRAPH
(ACCELERATION)
OBJECT AT REST(NO MOTION)
FED
A B C
![Page 33: NOTES #6 GRAPHING MOTION Eq : what can a distance /time graph show you?](https://reader035.vdocuments.us/reader035/viewer/2022062423/5697bfa91a28abf838c99f56/html5/thumbnails/33.jpg)
COMPARING P/T GRAPHS TO V/T GRAPHS
FED
A B C
TYPE OF MOTION POSITION/TIME GRAPH
(SPEED)
VELOCITY/TIME GRAPH
(ACCELERATION)
OBJECT MOVING AT CONSTANT SPEED
![Page 34: NOTES #6 GRAPHING MOTION Eq : what can a distance /time graph show you?](https://reader035.vdocuments.us/reader035/viewer/2022062423/5697bfa91a28abf838c99f56/html5/thumbnails/34.jpg)
COMPARING P/T GRAPHS TO V/T GRAPHS
FED
A B C
TYPE OF MOTION POSITION/TIME GRAPH
(SPEED)
VELOCITY/TIME GRAPH
(ACCELERATION)
OBJECT SPEEDING UP
![Page 35: NOTES #6 GRAPHING MOTION Eq : what can a distance /time graph show you?](https://reader035.vdocuments.us/reader035/viewer/2022062423/5697bfa91a28abf838c99f56/html5/thumbnails/35.jpg)
COMPARING P/T GRAPHS TO V/T GRAPHS
FED
A B C
TYPE OF MOTION POSITION/TIME GRAPH
(SPEED)
VELOCITY/TIME GRAPH
(ACCELERATION)
OBJECT SLOWING DOWN