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what to call little "g"



I've always hedged with;

"g is the intensity of the earth's gravitational field as measured
by the acceleration of free fall, g = 10 m/s^2, downward"

Later, this can be referred to as "the gravitational intensity"

However, students still use the inapropriate " acceleration of
gravity" when using W=mg, or in non-free-fall cases.