Understanding the Concepts
* Acceleration: The rate at which an object's velocity changes.
* Initial Velocity (v₀): The object's starting velocity (30 m/s in this case).
* Final Velocity (v): The object's velocity when it comes to a stop (0 m/s).
* Time (t): The time it takes for the object to stop (5 seconds).
Formula
We can use the following formula to find acceleration:
* a = (v - v₀) / t
Calculations
1. Plug in the values:
* a = (0 m/s - 30 m/s) / 5 s
2. Calculate:
* a = -30 m/s / 5 s
* a = -6 m/s²
Answer
The object's acceleration is -6 m/s². The negative sign indicates that the acceleration is in the opposite direction of the object's initial motion, causing it to slow down.