Section 2.3: Velocity, Acceleration, and Second Derivatives
Key Concepts:
Prior Knowledge:
- Recall Section 2.1 YouTube videos on derivative applications to displacement: Part 1, Part 2, and Part 3
Lessons for Section 2.3:
Acceleration as the Second Derivative of the Displacement Function
1. Velocity = First Derivative vs. Acceleration = Second Derivative or Derivative of First Derivative
1. Velocity = First Derivative vs. Acceleration = Second Derivative or Derivative of First Derivative
2. Relationships between Displacement (Position), Velocity and Acceleration
|
|
3. Determining Velocity and Acceleration Functions
4. Graphical Interpretation of the Displacement, Velocity and Acceleration Functions
5. Graphical Representation of the Displacement, Velocity and Acceleration of a "Slowing-Down" object
6. Graphical Representation of Constant Acceleration: Straight Line Motion (Up-Down)
5. Graphical Representation of the Displacement, Velocity and Acceleration of a "Slowing-Down" object
6. Graphical Representation of Constant Acceleration: Straight Line Motion (Up-Down)
7. Distance Graph to Velocity Graph to Acceleration Graph
8. Distance, Velocity and Acceleration (a PowerPoint presentation with examples and practices)
distance_velocity_and_acceleration.ppt | |
File Size: | 345 kb |
File Type: | ppt |
9. The Graphs of a Function, Its First Derivative and Its Second Derivative
Assigned Practices:
- eBook: Read p. 100 to 106
- eBook: Do exercises on p. 106 #2 to 10
- eBook: In-Class exercises p. 109 #11 to 14