1. Aim: How do we analyze position-time or Displacement-time graphs?

2. Position-time graph
We use position-time graphs to explain how an object is displaced through time.
What would a position-time graph look like for the car above?

3. Position time graph –Object moving at constant velocity
What is the physical significance of the slope of this position-time graph?
Remember that slope = rise/run

4. Meaning of SLOPE OF A D-T GRAPH
The slope of a displacement time graph represents the velocity.

5. Position-time graph Explain the motion of the car above.
What would its position-time graph look like?

6. Position-Time graph-object accelerating (speeding up)
What is the average velocity of this interval from 0-5s?
Is the velocity constant? How can you tell?

7. SHAPE OF GRAPHS AND THEIR MEANING
Straight line = constant velocity Curved line = changing velocity Constant slope implies constant velocity Changing slope implies changing velocity

8. Instantaneous velocity
At any point on a position-time graph, the line drawn tangent to the curve at that point represents the instantaneous velocity. The slope of the tangent line at that point is equal to the instantaneous velocity.

9. More on instantaneous velocity
The blue line represents the instantaneous velocity at what point?

10. GRAPH ANALYSIS
Write down how the object is moving during each interval of time. Use words like constant velocity, speeding up, slowing down, at rest,etc.
AB= Accelerating (Speeding Up)
BC= Moves at constant velocity in + direction
CD= At Rest
DE= Moves at constant velocity in -direction

11. Write a sentence Comparing the motion of the two graphsB A

12. Write a sentence comparing the two graphs below

13. Write a sentence comparing the two graphs below

14. Explain what type of motion could produce such a position-time graph