Question

what is meant by acceleration due to gravity? Derive an expression for a acceleration due to gravity (g)​

Answer 1

physics. : the acceleration of a body in free fall under the influence of earth's gravity expressed as the rate of increase of velocity per unit of time and assigned the standard value of 980.665 centimeters per second per second. — called also g.

Answer 2

It is the acceleration felt by the free falling body which is only bez of the gravitational pull of the earth acting on the body.

$g = \frac{Gm}{ {r}^{2} } = 10m {(sec)}^{2} \: \: approx$