1. Kinematics:
Motion Graphs Day #2

2. Velocity in that section
Recall
From our last lesson:
The faster the velocity, the steeper the line is on the position-time graph.
The slower the velocity, the shallower the line is on the position-time graph.
Therefore, the slope of a line on a position- time graphs yields the…
Velocity in that section 

3. Example #1 Given the position-time data below
Create a position-time graph.
Using the slopes of the position time graph, create a velocity-time graph.
Time (s) 1 2 3 4 5 6 7 8
Position (m) [E] 10 15

4. b) a) Section Slope A B C D E F G H Rise/run = 5/1=5 5/1= 5 5/1= 5
Pos.
(m) [E] b) a) 15
Section
Slope A B C D E F G H
Rise/run = 5/1=5 10
5/1= 5
5/1= 5 5
0/1= 0
-5/1= -5 A B C D E F G H
-5/1= -5 1 2 3 4 5 6 7 8
Time(s)
0/1= 0 c)
Velocity
(m/s) [E]
-5/1= -5 5 1 2 3 4 5 6 7 8
Time(s) -5

5. Example #2 Given the velocity-time graph from example #1, calculate:
The area of each section
The total area as you go from section to section
What do you notice about the total areas?

6. c) The total area gives us the position at the end of each section.
a) & b)
Section
Area
Total Area A B C D E F G H
Velocity
(m/s) [E]
lxw=(5)(1)=5 5 5 5 10 5 15 A B C D E F G H 15 1 2 3 4 5 6 7 8
Time(s) -5 10 -5 5 -5 5 -5
c) The total area gives us the position at the end of each section.

7. Example #3 Given the velocity-time data below
Create a velocity-time graph.
Calculate the slopes of each section of the velocity time graph. What do they represent?
Create an acceleration-graph.
Create a position-time graph.
Time (s) 1 2 3 4 5 6 7 8
Velocity (m/s) [E]

8. Conclusion Position-time Velocity-time Acceleration-time
To create motion graphs based on given information, follow the chart below:
Position-time
slope
area
Velocity-time
slope
area
Acceleration-time