Classical Mechanics (Kibble & Berkshire) · Problem 1.18

Velocity, acceleration and scalar angular velocity — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · tangent-normal-vectors-curvature

Problem

Find the unit tangent vector, the unit normal vector and the curvature of the parabola

x = ap^2

y = 2ap

z = 0

at the point with parameter

p