1. Graphs of Motion: P-T, V-T, and A-T
September 20, 2016

2. What do we already know about graphing motion?
We know how to draw and interpret position vs time (P-T) graphs
Straight lines =
Positive slope Negative slope: Zero slope:
Constant velocity / NO acceleration
v = -
v = +
v = 0

3. What do we already know about graphing motion?
We know how to draw and interpret position vs time (P-T) graphs
Curved lines =
Accelerated motion
Share your ‘do now’ with your table partner(s).
Discuss and make changes if necessary.
v = +
a = +
v = -
a = +
v = +
a = -
v = -
a = -

4. V-T graphs What do you think these mean? Think, Pair, Share
Rules for V-T graphs
Horizontal lines:
Positive slopes:
Negative slopes:
Lines above the x axis:
Lines below the x axis:
a = 0
a = +
v = +, a = 0
v = +, a = +
v = +, a = -
a = -
v = +
v = -
v = -, a = -
v = -, a = 0
v = -, a = +

5. Test your Understanding
Think about your answer, wait until I tell you, then show me the answer by holding up the correct number of fingers.
Which runner(s) have the greatest speed? A C
B & D E
How do you know?

6. Test your Understanding
Think about your answer, wait until I tell you, then show me the answer by holding up the correct number of fingers.
Which runners are slowing down? A E
C & D
E &D
None of them
How do you know?

7. Test your Understanding
Think about your answer, wait until I tell you, then show me the answer by holding up the correct number of fingers.
Which runners are changing direction? A C D E
None of them
How do you know?

8. You Do: Interpreting V-T Graphs
Use the graph of the motion of a toy train, below, to answer the questions.
When is the train’s speed constant?
When was the train’s velocity positive?
When is the train’s acceleration positive?
When did the train slow down?
From B-C, from D-E, and from F-G
Always!
From A-B, from C-D, and from G-H
From E-F

9. Putting it all together: Creating V-T and A-T graphs
To create a V-T graph, I will first determine the v and a of each segment of the graph.
v = +
a = 0
v = +
a = -
v = +
a = +
v = +
a = -
v = 0
a = 0
v = 0
a = 0
We don’t have numbers on this … how would we do it with numbers? Calculate slopes!
v = +
a = +
v = +
a = 0
v = -
a = 0
v = -
a = 0

10. Putting it all together: Creating V-T and A-T graphs

11. Creating V-T and A-T graphs: Testing your understanding
Study the problem, then when I say, show “thumbs up” or “thumbs down” to indicate whether the graph has been drawn correctly.

12. Creating V-T and A-T graphs: Testing your understanding
Study the problem, then when I say, show “thumbs up” or “thumbs down” to indicate whether the graph has been drawn correctly.

13. Creating V-T and A-T graphs: You Do
Draw the corresponding V-T and A-T

14. Homework HW sheet, HW Quiz next class Closure What were our objectives & how did we meet them? How did what we did today reflect our unit goal? How did we utilize our LP trait of communicators? What was our primary ‘way of knowing’ used today? Exit Ticket Complete motion graphs classwork sheet