| 1. Analyze the motion of an object moving in one dimension, given a graph (e.g., displacement versus time, velocity versus time, acceleration versus time). |
| 2. Determine distance traveled, displacement, speed, velocity, acceleration, or time of travel for objects moving in one dimension. |
| 3. Determine distance traveled, displacement, speed, velocity, acceleration, or time of travel for objects moving in two dimensions (e.g., projectile motion). |
| 4. Apply Newton's laws of motion to problems involving linear motion of a body. |
| 5. Apply Newton's laws of motion to problems involving circular motion of a body. |
| 6. Identify action-reaction pairs of forces between two bodies. |
| 7. Apply conservation of momentum to problems in one or two dimensions. |
| 8. Analyze problems using the impulse-momentum theorem. |
| 9. Analyze problems using Newton's universal law of gravitation (e.g., orbital motion). |
| 10. Analyze problems involving static or kinetic frictional forces. |
| 11. Apply conservation of mechanical energy. |
| 12. Use Newton's second law to analyze problems involving two connected masses (e.g., Atwood machine, Atwood machine on inclined plane, blocks, massless pulley). |
| 13. Analyze problems involving torque (e.g., equilibrium, rotational dynamics). |
| 14. Apply conservation of angular momentum and conservation of energy to problems involving rotational motion. |
| 15. Analyze problems involving work done on mechanical systems (e.g., power, work-energy theorem). |
| 16. Analyze problems involving the relationships between depth, density of fluid, and pressure. |
| 17. Analyze problems involving the buoyant force on a submerged or floating object (i.e., Archimedes' principle). |
| 18. Analyze problems involving moving fluids (e.g., mass conservation, Bernoulli's principle). |
| 19. Analyze problems involving center of mass. |
| 20. Use free-body diagrams to analyze static or dynamic problems in two or three dimensions. |
| 21. Analyze characteristics and examples of simple harmonic motion (e.g., oscillating springs, vibrating strings, pendula). |