Physics 1: Algebra-
Based Study Library.

Scalars and vectors in one dimension · Displacement, velocity, and acceleration (average and instantaneous) · Position-time, velocity-time, and acceleration-time graphs · Kinematic equations for constant acceleration · Reference frames and relative motion · Vectors and motion in two dimensions · Projectile motion and component decomposition

Systems and center of mass · Forces and free-body diagrams · Newton's Third Law and action-reaction pairs · Newton's First Law and translational equilibrium · Newton's Second Law: F_net = ma applied to systems · Gravitational force and universal gravitation · Kinetic and static friction · Spring forces and Hooke's Law · Circular motion and centripetal acceleration

Translational kinetic energy · Work and the work-energy theorem · Gravitational potential energy · Elastic potential energy and Hooke's Law energy storage · Gravitational potential energy in orbital contexts · Conservation of mechanical energy in closed systems · Energy bar charts and energy accounting · Power as rate of energy transfer

Linear momentum as a vector quantity · Change in momentum and the impulse-momentum theorem · Impulse from force-time graphs · Conservation of linear momentum in isolated systems · Perfectly inelastic collisions · Elastic collisions and kinetic energy conservation · Explosions and recoil as momentum conservation scenarios

Rotational kinematics: angular position, velocity, and acceleration · Connecting linear and rotational quantities (v = rω, a = rα) · Torque and the lever-arm concept · Rotational inertia and its dependence on mass distribution · Rotational equilibrium: net torque equals zero · Newton's Second Law in rotational form: τ_net = Iα

Rotational kinetic energy · Work done by a torque · Angular momentum and angular impulse · Conservation of angular momentum · Rolling without slipping: combined translational and rotational kinetic energy · Circular orbital mechanics and gravitational force as centripetal force

Conditions for simple harmonic motion: restoring force proportional to displacement · Frequency and period relationships · Representing and analyzing SHM with position, velocity, and acceleration graphs · Phase relationships between x(t), v(t), and a(t) in SHM · Energy in SHM: kinetic-potential energy exchange · Period of a mass-spring system · Period of a simple pendulum

Internal structure of fluids and density · Pressure and its relationship to force and area · Hydrostatic pressure variation with depth · Buoyancy and Archimedes' Principle · Fluids and Newton's Laws: floating, sinking, and submerged equilibrium · Continuity equation for incompressible flow · Bernoulli's equation and conservation of energy in fluid flow