Position - Time Diagrams

p-t diagram
  1. How many seconds has elapsed in diagram 1? _________________

  2. How far did the object travel from the origin? _________________

  3. What is the distance traveled? _________________

  4. Complete this table for each time segment in diagram 1:
    Beginning time - Ending time Time interval Distance traveled in this interval Speed
    0 to 2 secs      
    2 to 3 secs      
    3 to 4 secs      
    4 to 5 secs      
    5 to 8 secs      
    8 to 10 secs      
    0 to 10 secs      

  5. Use the first six speed values from the table above, add them together and divide by six. Show your calculations. Record that number here ______________.
     
  6. What does that number represent?
     
  7. Why doesn't that number equal the last (7th) speed calculation in the table?
 
p-t diagram
  1. How many seconds has elapsed in diagram 2? _________________

  2. How far did the object travel from the origin? _________________

  3. What is the distance traveled? _________________

  4. Complete this table for each time segment in diagram 2:
    Beginning time - Ending time Time interval Distance traveled in this interval Speed
    0 to 2 secs      
    2 to 4 secs      
    0 to 4 secs      
    4 to 9 secs      

  5. Sketch a Position-time diagram showing the path of two objects. One object is moving at twice the speed of the other object.
    Note: If an object travels at twice the speed of another, it must travel twice as far in the same time or the same distance in half the time.  
     
     
     
     
     
     
     
     
     
     
     
  6. Why is the slope of the first line positive and the second line or portion negative? ____________________________________________________

    ______________________________________________________________________________________

  7. What is the speed in the last second (interval 9s to 10s) ________

    The last small segment or line has a slope of _____. Why? ________________________

  8. What is the average speed over the entire 10 second interval? Show work

    ___________________________________________________________________________

    Note: this average speed is not any of the actual or instantaneous speeds of this object.

  9. Describe the motion in the first 4 seconds. _______________________________________________________________________

  10. How does the motion differ for interval t = 4s to t = 9s from the first interval? _______________________________________________________

  11. How far from the start is this object afrter 7 seconds? _________________