References: Higher-Order Derivatives and Motion

1. Second derivative - Wikipedia - Definition, notation, and interpretations of the second derivative including concavity and acceleration. Directly supports the core concepts in this chapter.

2. Acceleration - Wikipedia - Physical meaning of acceleration as the second derivative of position, with examples from kinematics. Connects the chapter's motion analysis to real-world physics.

3. Jerk (physics) - Wikipedia - The third derivative of position, covering its physical significance and engineering applications. Extends the higher-order derivative concept beyond the second derivative.

4. Calculus: Early Transcendentals (9th Edition) - James Stewart - Cengage Learning - Section 3.7 covers higher-order derivatives with emphasis on position, velocity, and acceleration in rectilinear motion problems.

5. Thomas' Calculus (15th Edition) - Joel Hass, Christopher Heil, Maurice Weir - Pearson - Section 3.4 develops motion along a line with clear distinctions between velocity, speed, and acceleration using derivative relationships.

6. Higher Order Derivatives - Paul's Online Math Notes - Examples computing second, third, and nth derivatives with applications to velocity and acceleration problems.

7. Motion Problems with Derivatives - Khan Academy - Interactive lessons on interpreting derivatives in motion contexts, including when objects speed up, slow down, or change direction.

8. Rectilinear Motion and Derivatives - Professor Leonard - Comprehensive lecture on position, velocity, acceleration, and speed with detailed sign analysis examples.

9. Velocity and Acceleration - Math is Fun - Accessible introduction connecting derivatives to motion with velocity-time and position-time graph interpretations.

10. Motion Analysis - Whitman College Calculus - Open-source treatment of rectilinear motion with exercises on determining direction, speed changes, and total distance.