Understanding the Concepts

* Velocity (v): The speed and direction of an object.

* Acceleration (a): The rate of change of velocity.

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

* Final Velocity (vf): The velocity of the object after acceleration.

Formula

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

* vf = vi + at

where:

* vf = final velocity

* vi = initial velocity

* a = acceleration

* t = time

Solving the Problem

1. Identify the given values:

* vi = 24 m/s

* a = 2 m/s²

* t = 8 s

2. Plug the values into the formula:

* vf = 24 m/s + (2 m/s²)(8 s)

3. Calculate the final velocity:

* vf = 24 m/s + 16 m/s

* vf = 40 m/s

Therefore, the final velocity of the car is 40 m/s.