WAEC SSCE Physics
Study notes for Fundamental and derived quantities and — part of the WAEC SSCE Physics syllabus. 2 learning objectives with explanations and exam tips.
Fundamental quantities are the basic measurements we cannot break down further. There are seven of them: length, mass, time, electric current, temperature, amount of substance, and luminous intensity. Each has its own standard unit. Length is measured in metres, mass in kilograms, and time in seconds.
Derived quantities are measurements we create by combining fundamental quantities. For example, speed comes from dividing distance (length) by time. When you travel from Lagos to Ibadan, the distance is length, the journey time is time, but your speed is a derived quantity calculated from both.
Area is another derived quantity—it's length multiplied by width. Volume combines three lengths together. Force combines mass and acceleration. The beauty of derived quantities is that they help us describe real-world situations by mixing fundamental measurements in different ways.
Derived quantities are measurements built from combining fundamental quantities like length, mass, and time. While fundamental quantities stand alone, derived quantities depend on others. For example, speed comes from dividing distance (length) by time. Area results from multiplying length by length, giving you square metres.
Think of it like making pepper soup—fundamental quantities are your basic ingredients like pepper and salt, while derived quantities are what you create by combining them. Velocity, acceleration, force, and energy are all derived because they're made from fundamental building blocks.
In Nigeria, when a commercial bus travels from Lagos to Ibadan, the driver's speed in km/h is a derived quantity—it combines distance covered with time taken. Without understanding how derived quantities form from fundamental ones, you'll struggle with physics calculations.