Decomposition of Complicated Motions 
A wide variety of realistic one-dimensional motions can be closely approximated by decomposing the motion into segments of constant acceleration. By matching the initial conditions of each segment (time, position and velocity) to the final conditions of the previous segment, the entire motion can be described using only the simple Law of Change for the One-Dimensional Motion with Constant Acceleration model.
Accelerate, Decelerate (Determining the relationships between position, velocity and acceleration from a position vs. time plot.)
An Exercise in Continuity (Determining the relationships between position, velocity and acceleration from a position vs. time plot.)
Fan-Powered Ice Boat (Graphing 1D motion with constant acceleration.)