Introduction to Classical Mechanics · Problem 4.28
Conservation of energy and momentum — Morin
Physics — Mechanics · damped-harmonic-motion
Problem
A mass on the end of a spring is released from rest at position x0. The experiment is repeated, but now with the system immersed in a fluid that causes the motion to be critically damped. Show that the maximum speed of the mass in the first case is e times the maximum speed in the second case.