Fundamental and Derived Physical Quantities and Units

The fundamental units of measurement are categorized as base qualities used to define all other physical quantities. These include:
Time: Measured in seconds, represented by the symbol $s$ .
Length: Measured in meters, represented by the symbol $m$ .
Mass: Measured in kilograms, represented by the symbol $kg$ .
Amount: Measured in moles, represented by the symbol $mol$ .
Electric Current: Measured in Ampalays, represented by the symbol $A$ .
Thermodynamic Temperature: Measured in Kelvin, represented by the symbol $K$ .
Luminous Intensity: Measured in Candellas, represented by the symbol $cd$ .

Derived units are formed by powers, products, or quotients of the base units. The following are derived mechanical quantities:

Area: Calculated as length squared, expressed in square meters as $m^2$ .
Volume: Calculated as length cubed, expressed in cubic meters as $m^3$ .
Speed / Velocity: Defined as the rate of change of position, expressed in meters per second as $m/s$ .
Acceleration: Defined as the rate of change of velocity over time, expressed in meters per second squared as $m/s^2$ .
Density: Defined as mass per unit volume, expressed in kilograms per cubic meter as $kg/m^3$ .
Momentum: Calculated as the product of mass and velocity, expressed in kilograms times meters per second as $kg \cdot m/s$ .
Force: Defined by the interaction of mass and acceleration, expressed in kilograms times meters per second squared as $kg \cdot m / s^2$ .
Pressure: Defined as force applied over a specific area, expressed in kilograms per meter per second squared as $kg / (m \cdot s^2)$ .
Energy: Represented as work done or capacity to do work, expressed in kilograms times square meters per second squared as $kg \cdot m^2 / s^2$ .
Power: Defined as the rate at which energy is transferred or converted, expressed in kilograms times square meters per second cubed as $kg \cdot m^2 / s^3$ .

Electrical measurements are derived using a combination of mechanical base units and the unit for electric current:

Electric Charge: The physical property of matter that causes it to experience a force in an electromagnetic field, expressed in Ampere-seconds as $A \cdot s$ .
Potential Difference: The work needed per unit of charge to move a charge between two points, expressed in kilograms times square meters per second cubed per Ampere as $kg \cdot m^2 / (s^3 \cdot A)$ .
Electrical Difference: A specific categorization of electrical measurement expressed in kilograms times meters squared per seconds cubed per Ampere as $kg \cdot m^2/s^3 \cdot A$ .