An object is traveling at a constant velocity of 12 m/s when it experiences a constant acceleration of 2.5 m/s^2 for a time of 20 s.
Recall from the equations of motion
![v=u+a\cdot t](https://img.qammunity.org/2023/formulas/physics/college/hli7sg18dihdbudnb5t62tstug5bhddv09.png)
Where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
Let us substitute the given values and find the final velocity
![\begin{gathered} v=u+a\cdot t \\ v=12+2.5\cdot20 \\ v=12+50 \\ v=62\; (m)/(s) \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/6id8avvq4vp3jwp7anfohwio63c8dv2tp5.png)
Therefore, the final velocity of the object is 62 m/s