# How is acceleration of falling objects affected by gravity?

Those semantics aside, objects near the earth accelerate at a rate of about 9.81 $\frac{m}{s} ^ 2$. If an object starts out not moving and is allowed to fall, one second later it will be moving at 9.81 $\frac{m}{s}$. After two seconds it will be moving 19.62 $\frac{m}{s}$.
The velocity of a falling object ($v$) depends on the time it has been falling ($t$), the acceleration of gravity ($g$), and the velocity it had at time zero (${v}_{0}$).
$v = g \cdot t + {v}_{0}$