We are given the initial velocity and the acceleration of a moving object and we are asked to determine its final velocity after 30 seconds. To do that we will use the following equation of movement:
[tex]v_f=v_0+at[/tex]Where "vf" is the final velocity, "v0" is the initial velocity, "a" is the acceleration and "t" is time. Replacing the given values:
[tex]v_f=6\frac{m}{s}+0.75\frac{m}{s^2}\times30s[/tex]Solving the operations:
[tex]\begin{gathered} v_f=6\frac{m}{s}+22.5\frac{m}{s} \\ v_f=28.5\text{ m/s} \end{gathered}[/tex]Therefore, the final velocity is 28.5 meters per second.
