Final Exam Review – Kinematics, Kinetics & Collision Concepts

Exam Structure and Stakes

  • Format & weighting

    • Only 5 multiple-choice questions; all remaining questions are open-ended.

    • Expect heavy typing: you must show every step of your work to receive full credit.

    • The final counts for 40\% of the total course grade.

    • A poor score can jeopardize passing the course and may require a retake.

  • Grading mindset

    • Instructor will look for orderly work, clear reasoning, and correct units.

    • Partial credit is possible, but only if intermediate steps are visible.


Kinematics (Week 1 Review)

  • Core idea: relationships among time, distance, velocity, and acceleration.

  • Key equations (must know, derive, and apply):

    • Average velocity: v = \frac{d}{t}

    • Average (constant) acceleration: a = \frac{vf - vi}{t}

  • Unit-conversion warning

    • Problems may request an answer in miles per hour (mph) while giving time in minutes.

    • Procedure: convert minutes to hours before substitution.

    • t{\text{hours}} = \frac{t{\text{minutes}}}{60}

    • Omitting this step leads to an incorrect numerical answer and loss of credit.

  • What to show in solutions

    • Known values (with units).

    • Unit conversion step.

    • Substitution into the equation.

    • Final answer boxed and in requested units.


Kinetics (Forces & Motion)

  • Big picture: Why things move—forces and interactions.

  • Newton’s Three Laws (must cite & apply to one coherent scenario):

    1. Law of Inertia – An object at rest or moving at constant velocity remains so until acted on by an external net force.

    2. Law of Acceleration – The acceleration of an object is proportional to the net force and inversely proportional to its mass ( F_{\text{net}} = m a ).

    3. Law of Action–Reaction – For every action there is an equal and opposite reaction (force pairs act on different bodies).

  • Required exam task

    • Compose or reuse a physical scenario (may reuse one from the earlier study guide) that explicitly shows:

    • Initial rest or constant-velocity state.

    • Introduction of an unbalanced force → change in motion (acceleration).

    • Clear identification of the action–reaction pair.

      • e.g.

      • A skateboarder pushing off the ground.

      • A snowball hitting a wall.

    • Use correct terminology and link each part of the scenario to the relevant law.


Collisions: Elastic vs. Inelastic

  • Elastic Collision

    • Both momentum and kinetic energy are conserved.

    • Typical example: two ideal billiard balls striking and separating without deformation.

  • Inelastic Collision

    • Momentum is conserved, but kinetic energy is not (some converted to heat, sound, deformation).

    • Perfectly inelastic subtype: objects stick together post-impact.

    • Example: car crash with crumpling metal.

  • What to demonstrate on the exam

    • Define each collision type.

    • Explicitly state which physical quantities remain constant.

    • Provide or analyze a concrete example for each.


Practical & Ethical Connections

  • Unit discipline carries over to engineering, aviation, medicine—wrong units can be catastrophic (e.g.

    • Mars Climate Orbiter loss due to metric–imperial mix-up).

  • Ethical implication: engineers and scientists have a duty to communicate calculations transparently—mirrors the “show your work” rule.


Final Preparation Checklist

  • Memorize and practice manipulating the two kinematics formulas.

  • Drill unit conversions (minutes↔hours, meters↔kilometers, ft↔miles).

  • Build a robust scenario illustrating Newton’s laws; rehearse writing it quickly.

  • Know the conservation properties of elastic vs. inelastic collisions.

  • Practice open-ended problems—type solutions as you will on the exam (speed matters).

  • Double-check that every numeric answer carries the correct unit.

  • Aim for clarity: label steps, underline final answers, and reference laws explicitly.

Good luck—master these points, show every step, and the 40 % weight will work in your favor!