To solve this problem, we can use the following equation of motion:
```
vf^2 = vi^2 + 2as
```
where:
* vf is the final velocity
* vi is the initial velocity
* a is the acceleration
* s is the distance traveled
Substituting the given values, we get:
```
vf^2 = 12^2 + 2 * 14 * 48
vf^2 = 880
vf = 29.6 m/s
```
Therefore, the object's final velocity is **29.6 m/s**.
**Answer:** 29.6 m/s