CPSC 424 — Assignment 6, Question 2

Curvature, arc-length, tangent, and normal for three parametric curves.

Curve 1: x = t², y = 2t

Curvature

Arc-length

Normals

Tangents

Curve 2: x = 2t+3, y = (t−1)³

Curvature

Arc-length

Normals

Tangents

Curve 3: x = 2cos(πt), y = sin(πt)

Curvature

Arc-length

Normals

Tangents