To determine the acceleration of the Indy car, we can use Newton's second law of motion, which states that \( F = m \cdot a \), where \( F \) is the net force, \( m \) is the mass of the object, and \( a \) is the acceleration.
In this case, the force \( F \) is the traction force provided by the tires, which is 5800 N, and the mass \( m \) of the car is 725 kg.
Using the formula, we can rearrange it to solve for acceleration \( a \):
\[ a = \frac{F}{m} \]
Substituting in the values:
\[ a = \frac{5800 , \text{N}}{725 , \text{kg}} \]
Now, calculating the acceleration:
\[ a \approx 8.0 , \text{m/s}^2 \]
Thus, the acceleration of the Indy car is approximately \( 8.0 , \text{m/s}^2 \).