Answer:
[tex]v(2) = 102.384\,\frac{m}{s}[/tex]
[tex]v(12) = 4.304\,\frac{m}{s}[/tex]
Step-by-step explanation:
The position function for the free-falling object is [tex]y(t) = 122\cdot t -4.904\cdot t^{2}[/tex], where t is measured in seconds and y is measured in meters. The velocity function is obtained by deriving it:
[tex]v(t) = 122-9.808\cdot t[/tex], where v is measured in meters per second.
Velocities at given times are, respectively:
[tex]v(2) = 102.384\,\frac{m}{s}[/tex]
[tex]v(12) = 4.304\,\frac{m}{s}[/tex]