1. Graphical Analysis Of Motion

2. Aims : Graphical Analysis
To measure the motion of an object
Construct a graph of distance vs. time
Calculate the speed and acceleration of an object in free fall, linear acceleration, and variable acceleration.
Compare the resulting graphs of each type of motion

3. Data Chart : Constant Velocity
Elapsed time (seconds)
Distance (meters) 2 4 8 6 12 16 10 20 24
Copy the data chart and construct a Distance vs. Time Graph
Answer on the next SLIDE

4. Graph: Constant Velocity

5. Copy the data chart and construct a VELOCITY vs. TIME Graph
Velocity Time Graph
Elapsed time (seconds)
Distance (meters)
Velocity (m/s)
0.0 2
4.0
2.0 4
8.0 6
12.0 8
16.0 10
20.0 12
24.0
Copy the data chart and construct a VELOCITY vs. TIME Graph

6. Elapsed time (seconds)
Data Chart
Elapsed time (seconds)
Distance (meters)
0.0
4.0 8
8.0 32
12.0 72
16.0
128
20.0
200
24.0
288
What type of motion?
Constant Acceleration!

7. Graph of Data: Constant Acceleration

8. Uniform Acceleration : Velocity vs. Time
Elapsed time (seconds)
Distance (meters)
0.0
4.0 8
8.0 32
12.0 72
16.0
128
20.0
200
24.0
288

9. Graph Question
What is the magnitude of the object’s total displacement after 4 seconds
What is the average speed after 3 seconds? 8m
V= d/t
V= 8m/3s
V= 2.66 m/s

10. Summary
Distance and time measurements can be used to describe the velocity and acceleration
The Shape of the Distance vs. Time determines the type of motion
Rest : Straight line parallel to time axis
Constant Speed : Straight line on a slope (magnitude of the speed)
Constant Acceleration: Curved line
The Shape of the Velocity vs. Time determines the type of motion
Rest : Straight line on the time axis
Constant Speed : Straight line parallel to the Time axis
Constant Acceleration: Straight line on a slope (magnitude of the Acceleration)