1. Motion and Velocity-Time Graphs | Analysis of two runners with different acceleration patterns; calculating Pat’s acceleration, total race length, and Sam’s final speed using area under graphs.

2. Vertical Motion under Gravity | Projectile motion of a stone; calculating launch height, total time with speed below a given value, and refinement of the model for increased accuracy.

3. Variable Acceleration and Distance | Verifying instantaneous rest, calculating acceleration from a velocity function, and computing total distance traveled from changing velocity.

4. Connected Particles and Forces | Modeling tension and resistance in a car-trailer system; determining acceleration, evaluating impact of rope mass, and limitations in modeling resistance forces.

5. Mathematical Modeling Assumptions | Evaluation of simplifying assumptions in mechanics problems including neglect of air resistance, uniform acceleration, and idealized force models.

6. Use of Graphical and Algebraic Methods | Interpreting and solving motion problems using speed-time graphs, definite integrals, differentiation, and Newton′s second law.