AP Physics C Mechanics Equations

This is a comprehensive list of all the AP Physics C: Mechanics equations for the AP exam.

Definition of Velocity

Definition of Velocity

Definition of Acceleration

Integral expression for Displacement

Integral expression for Change in Velocity

Constant Acceleration: Position vs Time

Constant Acceleration: Velocity vs Time

Constant Acceleration “No Time” Equation

Projectile Vertical Position

Projectile Horizontal Position

Newton’s 2nd Law

Maximum Static Friction

Kinetic Friction

Spring Force

Weight

Centripetal Force

Centripetal Acceleration

Center of Mass

Momentum

Conservation of Momentum

Impulse Momentum Theorem

Average Force

Definition of Work

Kinetic Energy

Work-Energy Theorem

Gravitational Potential Energy

Spring Potential Energy

Mechanical Energy

Relationship between Force and Potential Energy

Turning Point Statement in Terms of Potential Energy

Equilibrium Point Statement in Terms of Potential Energy

Torque due to a Force

Rotational Inertia of a Single Particle

Rotational Inertia of a Hoop

Rotational Inertia of a Rod with Axis at the Center

Parallel Axis Theorem

Newton’s 2nd Law for Rotation

Replacements for All Rotational Kinematics

Replacements for All Rotational Energy/Momentum

Equation for the Position vs Time of an Oscillator

Basic Relationship between Period Frequency and Angular Frequency

Period of a Mass on a Spring

Period of a Pendulum

Relationship between Length of Angle and Height above lowest point of Pendulum

Universal Gravitational Force Equation

Gravitational Field Equation

Universal Gravitational Potential Energy Equation

Escape Velocity Conditions

Orbital Velocity