Classical Mechanics (Kibble & Berkshire) · Problem 2.11
Newton's laws of motion and the law of gravitation — T.W.B. Kibble, F.H. Berkshire
Physics — Mechanics · general-particle-motion
Problem
General motion with constant speed A particle moves along any path in three-dimensional space with constant speed. Show that its velocity and acceleration vectors must always be perpendicular to each other. [Hint. Differentiate the formula v⋅v=v2 with respect to t.]