The Arc Length of a Smooth, Planar Curve and Distance Traveled

This study guide covers arc length of smooth, planar curves and distance traveled. It explains the concept of arc length, provides the formula: S = ∫ₐᵇ √(1 + [f'(x)]²) dx, and breaks down its components. It also demonstrates how to use arc length to calculate distance traveled with examples and practice problems involving finding the arc length and distance traveled by a particle along a curve.