Final answer:
The time interval of the acceleration of the car is approximately 2.195 seconds.
Step-by-step explanation:
The car comes to a stop by applying the brakes. Given that it accelerates uniformly at -4.1 m/s² and slows from 9 m/s to 0 m/s, we can find the time interval of the acceleration by using the formula:
v = u + at
Where,
v = final velocity
u = initial velocity
a = acceleration
t = time interval
First, let's find the time interval of the first acceleration:
0 = 9 + (-4.1)t
Solving for t:
t = 9/4.1 ≈ 2.195 seconds
Therefore, the time interval of the first acceleration is approximately 2.195 seconds.