1. Motion Map Method
Physics
Seo

2. Making a Motion Map Representational tool for motion
Camera is stationary
Object moves across the frame
Frames have a specific time interval
For most cameras it is 1/30 second
For most motion maps it will be 1 second)
Each time interval the car moves to the right a certain displacement

3. Making a Motion Map Stacking the frames on top of each other
Showing an object’s position at several equally spaced instances of time = motion map.

4. Motion Diagrams with Velocity Vectors
The velocity vector, as we’ve defined it, points in the same direction as the displacement Δx
The length of v is directly proportional to the length of Δx
Remember v= Δx / Δt and Δt is constant
Vectors are clearly labeled in motion map. V0
Hare V0
Tortoise

5. Graphing with Motion Maps
Physics
Seo

6. Position vs. Time The x-axis is always “time”
The y-axis is always “position”
The slope of the line= velocity
Slope = (y2-y1)/(x2-x1)
x1-x0/t1-t0
Δx/Δt

7. Given below is a diagram of a ball rolling along a table each 0
Given below is a diagram of a ball rolling along a table each 0.1 seconds.
assume this distance equals 0.2 m and display on a graph plotting its x-position versus time.

8. Slopes on a Position vs. Time graph
Slope is related to velocity
Steep slope = higher velocity
Shallow slope = less velocity

9. Different Position. Vs. Time graphs
Exponential Motion
Constant Motion
Constant positive velocity
(zero acceleration)
Increasing positive velocity
(positive acceleration)
Changing slope means changing velocity!!!!!!

10. X t B A C A … Starts at home (origin) and goes forward slowly
B … Not moving (position remains constant as time progresses)
C … Turns around and goes in the other direction quickly, passing up home

11. Graphing w/ Accelerationx
Graphing w/ Acceleration t A B C D
Increasing
Decreasing
A … Start from rest south of home; increase speed gradually
B … Pass home; gradually slow to a stop (still moving north)
C … Turn around; gradually speed back up again heading south
D … Continue heading south; gradually slow to a stop near the starting point

12. Velocity vs. Time X-axis is the “time” Y-axis is the “velocity”
Slope of the line = the acceleration

13. Horizontal lines = constant velocity Sloped line = changing velocity
Velocity vs. Time
Horizontal lines = constant velocity
Sloped line = changing velocity
Steeper = greater change in velocity per second
Negative slope = deceleration

14. Acceleration vs. Time Time is on the x-axis
Acceleration is on the y-axis
Shows how acceleration changes over a period of time.
Often a horizontal line.

15. All 3 Graphs t x v t a t