Understanding the Concepts

* Velocity: The rate at which an object changes its position. In this case, it's 24 m/s.

* Acceleration: The rate at which an object changes its velocity. Here, it's -4 m/s², meaning the object is slowing down (negative acceleration).

The Equation

We can use the following equation of motion:

* v = u + at

Where:

* v is the final velocity (0 m/s in this case, since the object stops)

* u is the initial velocity (24 m/s)

* a is the acceleration (-4 m/s²)

* t is the time taken (what we want to find)

Solving for Time (t)

1. Substitute the values:

0 = 24 + (-4) * t

2. Simplify:

0 = 24 - 4t

3. Solve for t:

4t = 24

t = 24 / 4

t = 6 seconds

Answer: It will take 6 seconds for the object to stop.