1. Understand the Variables

* Initial velocity (v₀): 0 m/s (starts from rest)

* Final velocity (v): 25 m/s

* Acceleration (a): 2.5 m/s²

* Distance (Δx): This is what we need to find.

2. Choose the Right Equation

We can use one of the following equations of motion:

* v² = v₀² + 2aΔx (This is the most convenient equation in this case)

3. Plug in the Values

* (25 m/s)² = (0 m/s)² + 2 (2.5 m/s²) Δx

4. Solve for Δx

* 625 m²/s² = 5 m/s² Δx

* Δx = 625 m²/s² / 5 m/s²

* Δx = 125 meters

Answer: The car travels 125 meters while accelerating.