Michael J. answered 04/03/15
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Effective High School STEM Tutor & CUNY Math Peer Leader
You know that the equation for force is mass times acceleration. The unit for mass is kg. The unit for acceleration is m/s2.
Let m = mass
Let a = acceleration
F = ma
F = kg * m/s2
The unit of force is a derived unit because we multiply two fundamental (basic form) quantities together to obtain a new quantity.
In addition, acceleration is a derived unit within itself because we divide the distance (m) by the time (s), which are both fundamental quantities. This gets us velocity (m/s). Then we divide this by time to obtain acceleration ((m/s)/s) = m/s2.