Area and speed are derived quantities because they are obtained by combining base quantities. Area is derived from multiplying two length measurements, while speed is derived from dividing a length measurement by a time measurement. These derived quantities are built upon the fundamental base quantities of length and time.
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Base quantities are independent and cannot be expressed in terms of other quantities, while derived quantities are dependent and derived from combinations of base quantities. Base quantities are fundamental in a system of measurement, while derived quantities are derived through mathematical relationships. For example, length is a base quantity, while speed is a derived quantity that depends on both length and time.
All other quantities which described in terms of base quantities are called base quantities.
Some examples of derived quantities are velocity (which is derived from distance and time), acceleration (derived from velocity and time), density (derived from mass and volume), and pressure (derived from force and area).
Derived quantities are physical quantities that are calculated from one or more base quantities using mathematical operations. These derived quantities are not independent and depend on the base quantities for their definition. Examples include velocity (calculated from distance and time) and acceleration (calculated from velocity and time).
Basic quantities are physical quantities that are independent and cannot be defined in terms of other physical quantities, such as length, time, and mass. Derived quantities, on the other hand, are physical quantities that are defined in terms of one or more basic quantities, such as speed, acceleration, and force.