1. GRAPHING VELOCITY

2. How do you see velocity on a graph?
You can see it on a
position time graph OR
a velocity time graph

3. Velocity is seen by the slope
POSITION v TIME
Velocity is seen by the slope

4. Graphing motion position-time
Section 3 on graph represents biker going backward
Section 1 on graph represents biker going forward
Ask students to look at the red line for each section and compare that to what biker is doing. This slide is not part of notes. Make sure to say heading away from and toward reference point.
Section 2 on graph represents biker sitting still

5. Position -v- time IF Velocity = zero (stopped)
This means: At all times, same position
Looks Like: Horizontal straight line
Students write “horizontal straight line” next to Looks like: on their notes.

6. Graphing motion position-time
Ask students to look at the red line for each section and compare that to what biker is doing. This slide is not part of notes. Make sure to say heading away from and toward reference point.
Section 2 on graph represents biker sitting still

7. Position -v- time If there is: Constant velocity in positive direction
This means: Moving forward
Looks like: Straight line with positive slope
Students write “Straight line with positive slope” next to Looks like: on their notes.

8. Graphing motion position-time
Ask students to look at the red line for each section and compare that to what biker is doing. This slide is not part of notes. Make sure to say heading away from and toward reference point.
Section 1 on graph represents biker moving forward

9. Position -v- time If there is :Constant velocity in negative direction
This means: backward
Looks like: Straight line with negative slope
Students write “Straight line with negative slope” next to Looks like: on their notes.

10. Graphing motion position-time
Ask students to look at the red line for each section and compare that to what biker is doing. This slide is not part of notes. Make sure to say heading away from and toward reference point.
Section 3 on graph represents biker moving backward

11. Position -v- time If there is: Constant faster velocity
Looks like: steeper slope
Can be positive or negative in direction
Students write “Can be positive or negative in direction” next to Looks like: on their notes.

12. more position-time graphs
Which line represents the largest velocity? (green one labeled fast) Draw a steep sloped diagonal straight line in their notes under the definition they just wrote.

13. Uniform Motion Summary Position vs. Time
Constant velocity
Looks like?
They should infer that it looks like a straight line and write that in their notes.
A straight line

14. Slope of Position vs. Time
You can calculate velocity by finding the slope of a position vs. time graph
- Slope of a line is …
(y2 – y1)/(x2 – x1) OR Dy/Dx
- Here the y axis is distance and the x axis is time so…
v = Dd/Dt
Write the slope equation and the velocity equation.

15. Slope of Position vs. Time
Find the velocity of the object shown below
d (m)
Write the slope equation and the velocity equation. Dd Dt
t (s)

16. Velocity v Time You can also see velocity on a velocity v time graph
You see it as the y-value

17. Uniform Motion Velocity vs. Time
If there is :Constant velocity
This means y value won’t change
Looks like?
They should infer that it looks like a horizontal line and write that in their notes.
A horizontal line

18. Velocity -v- time graph
Positive velocity (forward)
Positive y-value

19. velocity -v- time graph
Negative velocity (backward)
Negative y-value

20. velocity -v- time graph
Zero velocity (not moving)
Zero y-value

21. velocity -v- time graph
Faster vs. slower

22. Velocity -v- time graph
You can see displacement of an object on a velocity vs time graph by find the area under the curve
Watch video from 2:30 til 7:10

23. Velocity -v- time graph
Find displacement of object between 6 s and 12 s
240 m right
Watch video from 2:30 til 7:10