Answer:
The final velocity is -49.05 meters per second.
Explanation:
Let's use an equation of constant acceleration:
[tex]v=v_0+at\\v=v_0-gt\\[/tex]
Where a is the acceleration and g is the acceleration caused by gravity.
Since the object is being dropped from rest, [tex]v_0=0 \frac{m}{s}[/tex].
We're looking for the speed after 5 seconds, so [tex]t=5 s[/tex].
[tex]v=(0\frac{m}{s})-(9.81\frac{m}{s^{2}})(5s)\\v=-49.05\frac{m}{s}[/tex]
So the final velocity is -49.05 meters per second.