The following equation is used to calculate the final velocity of an object under motion and acceleration.

## Final Velocity Definition

A final velocity is defined as the speed of an object under motion after it has gone through a time period of acceleration.

For example, if an object is at rest and then an acceleration acts on it over say 5 seconds. The final velocity is the speed at which that object is now moving.

## Example Problem

The following is a step by step example problem of calculating the final velocity.

- First, determine of measure the initial velocity. For this example we will say our object is a car and is currently moving at 10m/s.
- Next, determine the acceleration. After hitting the gas, the car accelerates at a constant rate of 5m/s.
- Next, determine the total time of acceleration. The car accelerated for 8 seconds.
- Finally, calculate the final velocity using the formula and information above. Vf = 10 + 8*5 = 55m/s.

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