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Explain the difference between fundamental and derived quantities, and give one example of each.

Answer

Fundamental quantities are independent base quantities that are not defined using other quantities, such as length. Derived quantities are formed by mathematically combining fundamental quantities, such as area, which is length multiplied by length, or speed, which is distance divided by time.

Explanation

### The concept A fundamental quantity is a measurement starting point that is defined independently of other physical quantities. Length, time, and mass are examples. A derived quantity is calculated by combining fundamental quantities through multiplication or division. Area is length multiplied by length, and speed is distance divided by time. Their units show the relationship: area can be written as $\text{m}^2$, while speed can be written as $\text{m}/\text{s}$. ### What a good answer covers - Define a fundamental quantity as independent of other quantities. - Define a derived quantity as a mathematical combination of base quantities. - Give a valid example of each. - Show how the derived example depends on base quantities. ### Terms - **Fundamental quantity**: an independent base measurement. - **Derived quantity**: a measurement formed from base quantities. - **Area**: a surface measure formed from two lengths. - **Speed**: distance travelled per unit time. ### Remember Ask whether the quantity is a starting point or a combination of other measurements.

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