1. Fundamental units and measurement. Students will measure, apply, and compare standard units, measurement instruments and procedures associated with introductory mechanics including those determining time, mass, force, position, displacement, speed, velocity, acceleration, momentum and energy.
2. Velocity and acceleration. Students will define, calculate, algebraically manipulate and create and interpret graphs of position, velocity, and acceleration in one, two, and three dimensions. Calculus relations between position, average, and instantaneous velocity, and average and instantaneous acceleration will be explored. Students will use simple predictive models of point particle motion at constant velocity or constant acceleration to predict and determine motions of objects. Extended use of trigonometry and calculus will be included in these analyses as appropriate.
3. Gravity and falling bodies. Students will describe and calculate gravitational forces and potentials using Newton's Law of Universal Gravitation. Students will describe, calculate, graph and predict simple point particle motion near the Earth's surface.
4. Vectors. Students will calculate, draw, and analyze physical phenomena using one, two, and three dimensional vectors representing displacement, velocity, acceleration, force, and momentum. Students will add, subtract and perform inner and outer (dot and cross) products of vectors graphically and algebraically during analyses of motion, work, torque and angular momentum and interpret the results.
5. Newton's laws of motion. Students will explain and employ Newton's Three Laws of Motion to describe the motions of simple objects via Free Body Diagrams and calculations. Students will describe and employ common simple contact (friction, normal, tension) and non-contact (gravitational) forces in mechanical analyses.
6. Balanced and unbalanced forces; equilibrium. Students will define stable and unstable equilibrium, and apply Newton's Three Laws of Motion as appropriate to predict, describe, and compare motions of simple objects experiencing balanced and unbalanced forces.
7. Work, energy, and power. Students will define and describe energy transformations in physics, using energy transformations to describe and predict the motions of simple objects. Students will calculate (including via calculus) and interpret energy transformation quantities such as various mechanical energies, work and power.
8. Laws of conservation of energy and momentum. Students will define and describe both the law of conservation of energy and the law of conservation of momentum, and use these principles to analyze, calculate (including via calculus), and predict motions and interactions of simple objects.
9. Rotation. Students will extend physical descriptions of linear motion into rotational motion. Students will transform linear kinematics (velocity and acceleration), Newtonian dynamics (Newton's Laws), energy and momentum into their rotational analogues and use these analogues to analyze and predict rotational and linear motions. In particular, students will define and describe the law of conservation of angular momentum, and use this principle to analyze, calculate (including via calculus), and predict motions and interactions of simple rotating objects.
10. General properties of matter. Students will use simple atomic and molecular theory to describe and analyze properties of matter, physical interactions, and energy transformations such as friction, Newton's Third Law for contact forces and Hooke's Law.