Understanding the Concepts

* Acceleration: The rate at which an object changes its velocity.

* Initial Velocity (vi): The velocity of the object at the beginning of the time interval.

* Final Velocity (vf): The velocity of the object at the end of the time interval.

* Time (t): The duration of the acceleration.

Formula

The relationship between these quantities is described by the following equation:

vf = vi + at

Where:

* vf = final velocity

* vi = initial velocity

* a = acceleration

* t = time

Applying the Formula

1. Identify the knowns:

* vi = 0 ft/s (since the car starts from rest)

* a = 9 ft/s²

* t = 8 s

2. Substitute the values into the formula:

vf = 0 + (9 ft/s²)(8 s)

3. Calculate the final velocity:

vf = 72 ft/s

Therefore, the final velocity of the car is 72 ft/s.