This document provides instruction on determining velocities and angular velocities in mechanisms using the relative velocity method. It contains 5 problems: 1) Finding the angular velocity of a link in a 4-bar chain mechanism. 2) Determining velocities in a steam engine mechanism including the piston, connecting rod, and points on the connecting rod. 3) Finding the linear velocity of a slider and angular velocity of a link in a mechanism when the crank is at a specified angle. 4) Drawing a velocity diagram for an engine mechanism and determining the slider and link accelerations. 5) Determining velocities and angular velocities, and then accelerations, in a toggle mechanism where the crank speed is increasing.