\(a = \frac{2(25 - 0.02 \cdot 5.06)}{5.06^2}\)
Simplifying further:
\(a = \frac{2(25 - 0.1012)}{25.6036}\)
\(a = \frac{2(24.8988)}{25.6036}\)
\(a = \frac{49.7976}{25.6036}\)
\(a \approx 1.945 \, \text{m/s}^2\)
Therefore, the acceleration of the car, given the provided information, is approximately \(1.945 \, \text{m/s}^2\).