Final answer:
The car's acceleration is calculated using the change in velocity divided by the time taken. For the given scenario, the car's acceleration is 2.025 m/s².
Step-by-step explanation:
The rate of acceleration can be calculated using the formula:
Acceleration (a) = ∆v / ∆t
where ∆v is the change in velocity and ∆t is the change in time. For the car in question, which accelerates from rest (initial velocity, vi = 0 m/s) to 15.69 m/s in 7.75 seconds:
Acceleration (a) = (15.69 m/s - 0 m/s) / 7.75 s
Acceleration (a) = 15.69 m/s / 7.75 s
Acceleration (a) = 2.025 m/s²
Therefore, the car's acceleration is 2.025 meters per second squared.