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NOTES #6
GRAPHING MOTIONEq : what can a distance /time
graph show you?
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
2. HOW DO YOU CALCULATE SLOPE?
FIND THE RISE
2. HOW DO YOU CALCULATE SLOPE?
Find THE RISE (Y)
AND DIVIDE BY THE RUN (X)
2. HOW DO YOU CALCULATE SLOPE?
SLOPE = RISE RUN
THEREFORE:
SLOPE = DISTANCE TIME
RISE
RUNSLOPE = SPEED
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
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
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)
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)
4. WHAT CAN A POSITION-TIME GRAPH TELL YOU ABOUT SPEED?
NOT MOVING
MOVING BACK TOWARD START
MOVING AWAY AND ACCELERATING
4. WHAT CAN A POSITION-TIME GRAPH TELL YOU?
(MAKE A T-CHART )
4. WHAT CAN A POSITION-TIME GRAPH TELL YOU?
CONSTANT SPEED AWAY FROM START.
4. WHAT CAN A POSITION-TIME GRAPH TELL YOU?
CONSTANT SPEED BACK TOWARD STARTING POINT.
4. WHAT CAN A DISTANCE-TIME GRAPH TELL YOU?
ACCELERATING AWAY FROM START
4. WHAT CAN A POSITION-TIME GRAPH TELL YOU?
1.CONSTANT VELOCITY AWAY
2. NO MOTION
3. CONSTANT VELOCITY BACK TOWARD START
12
3
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
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
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
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
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
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)
POSITION-TME GRAPHS COMPARE THE MOTIONS AND SPEEDS OF OBJECTS
•VELOCITY-TME GRAPHS COMPARE THE MOTION AND ACCELERATION OF OBJECTS
6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU?
6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU?
OBJECT SPEEDING UP(ACCELERATION)
6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU?
Object is slowing down (decelerating)
6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU?
velocity is constant.
6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU?
Velocity is zero. Object is at rest
6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU?
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
COMPARING P/T GRAPHS TO V/T GRAPHS
TYPE OF MOTION POSITION/TIME GRAPH
(SPEED)
VELOCITY/TIME GRAPH
(ACCELERATION)
OBJECT AT REST(NO MOTION)
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
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
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
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
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
