2. NOTES #6 GRAPHING MOTION Eq : what can a distance /time graph show you?

3. 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

4. 2. HOW DO YOU CALCULATE SLOPE? FIND THE RISE

5. 2. HOW DO YOU CALCULATE SLOPE? Find THE RISE (Y) AND DIVIDE BY THE RUN (X)

6. 2. HOW DO YOU CALCULATE SLOPE? SLOPE = RISE RUN THEREFORE: SLOPE = DISTANCE TIME RISE RUN SLOPE = SPEED

7. 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

8. 3. WHAT IS THE PURPOSE OF A DISTANCE-TIME GRAPH? (COPY THE DATA TABLE) Turtle’s Position and Time TOTAL TIME (SEC)TOTAL DISTANCE (CM) 00 2040 80 60120 80160

9. 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) D I S T A N C E (CM) (SKETCH THIS GRAPH)

10. 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) D I S T A N C E (CM)

11. 4. WHAT CAN A POSITION-TIME GRAPH TELL YOU ABOUT SPEED? NOT MOVING MOVING BACK TOWARD START MOVING AWAY AND ACCELERATING

12. 4. WHAT CAN A POSITION-TIME GRAPH TELL YOU? (MAKE A T-CHART )

13. 4. WHAT CAN A POSITION-TIME GRAPH TELL YOU? CONSTANT SPEED AWAY FROM START.

14. 4. WHAT CAN A POSITION-TIME GRAPH TELL YOU? CONSTANT SPEED BACK TOWARD STARTING POINT.

15. 4. WHAT CAN A DISTANCE-TIME GRAPH TELL YOU? ACCELERATING AWAY FROM START

16. 4. WHAT CAN A POSITION-TIME GRAPH TELL YOU? 1.CONSTANT VELOCITY AWAY 2. NO MOTION 3. CONSTANT VELOCITY BACK TOWARD START 1 2 3

17. 5. WHAT IS THE PURPOSE OF A VELOCITY-TIME GRAPH? V E L O C I T Y (m/s) TIME (s) VELOCITY-TME GRAPHS SHOW THE ACCELERATION OF AN OBJECT, OR HOW ITS SPEED CHANGES OVER TIME

18. 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 Velocity DISTANCE (m)TIME (s)VELOCITY (m/s) 00 4020 8040 12060 16080

19. 5. WHAT IS THE PURPOSE OF A VELOCITY-TIME GRAPH? Turtle’s Position, Time, and Velocity DISTANCE (m)TIME (s)VELOCITY (m/s) 000 40202 80402 120602 160802

20. 5. WHAT IS THE PURPOSE OF A VELOCITY-TIME GRAPH? Plot the points on a velocity-time graph. Turtle’s Position, Time, and Velocity DISTANCE (m)TIME (s)VELOCITY (m/s) 000 40202 80402 120602 160802

21. 5. WHAT IS THE PURPOSE OF A VELOCITY-TIME GRAPH? VELOCITY IS CONSTANT 0 20 40 60 80 43214321 TIME (SEC) V E L O C I T Y (m/s) SLOPE =rise = run THEREFORE… SLOPE =ACCELERATION 0_ =0 20

22. 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) D I S T A N C E (CM)

23. POSITION-TME GRAPHS COMPARE THE MOTIONS AND SPEEDS OF OBJECTS VELOCITY-TME GRAPHS COMPARE THE MOTION AND ACCELERATION OF OBJECTS

24. 6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU?

25. OBJECT SPEEDING UP (ACCELERATION)

26. 6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU? Object is slowing down (decelerating)

27. 6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU? velocity is constant.

28. 6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU? Velocity is zero. Object is at rest

29. 6. WHAT CAN A VELOCITY-TIME GRAPH TELL YOU?

30. COMPARING P/T GRAPHS TO V/T GRAPHS TYPE OF MOTIONPOSITION/TIME GRAPH (SPEED) VELOCITY/TIME GRAPH (ACCELERATION) OBJECT AT REST (NO MOTION) OBJECT MOVING AT CONSTANT SPEED OBJECT SPEEDING UP OBJECT SLOWING DOWN

31. COMPARING P/T GRAPHS TO V/T GRAPHS TYPE OF MOTIONPOSITION/TIME GRAPH (SPEED) VELOCITY/TIME GRAPH (ACCELERATION) OBJECT AT REST (NO MOTION)

32. COMPARING P/T GRAPHS TO V/T GRAPHS TYPE OF MOTIONPOSITION/TIME GRAPH (SPEED) VELOCITY/TIME GRAPH (ACCELERATION) OBJECT AT REST (NO MOTION) F E D A B C

33. COMPARING P/T GRAPHS TO V/T GRAPHS TYPE OF MOTIONPOSITION/TIME GRAPH (SPEED) VELOCITY/TIME GRAPH (ACCELERATION) OBJECT AT REST (NO MOTION) F E D A B C

34. COMPARING P/T GRAPHS TO V/T GRAPHS F E D A B C TYPE OF MOTIONPOSITION/TIME GRAPH (SPEED) VELOCITY/TIME GRAPH (ACCELERATION) OBJECT MOVING AT CONSTANT SPEED

35. COMPARING P/T GRAPHS TO V/T GRAPHS F E D A B C TYPE OF MOTIONPOSITION/TIME GRAPH (SPEED) VELOCITY/TIME GRAPH (ACCELERATION) OBJECT SPEEDING UP

36. COMPARING P/T GRAPHS TO V/T GRAPHS F E D A B C TYPE OF MOTIONPOSITION/TIME GRAPH (SPEED) VELOCITY/TIME GRAPH (ACCELERATION) OBJECT SLOWING DOWN