Final answer:
The acceleration of the car is 8 m/s², which is found by dividing the change in velocity (100 m/s) by the time (12.5 s).
Step-by-step explanation:
To calculate the acceleration of a car that starts from rest and reaches 100 m/s in 12.5 seconds, we use the formula: acceleration (a) = change in velocity (Δv) / time (t). The change in velocity is 100 m/s since the car starts at rest (initial velocity is 0 m/s) and reaches 100 m/s. The time is 12.5 seconds. Therefore, the acceleration is 100 m/s divided by 12.5 s, resulting in an acceleration of 8 m/s².