4.10 Rectilinear Motion

OpenStax Calculus Volume 1 — Section 4.10

Learning Objectives

  • Relate position \(s(t)\), velocity \(v(t) = s'(t)\), and acceleration \(a(t) = v'(t)\)

  • Determine when an object is moving forward, backward, or at rest

  • Distinguish between speed (\(|v(t)|\)) and velocity

  • Use antiderivatives with initial conditions to recover position from acceleration

Key Concepts

To be filled during study.

Practice Problems

To be completed with textbook exercises.

Section Summary

To be written after completing the section.

Study Notes

Personal observations and connections to engineering work.