Final answer:
The time it takes for the car to slow down from 22 m/s to 3 m/s with an acceleration of -2.1 m/s² is approximately 9.05 seconds.
Step-by-step explanation:
To find the time it takes for the car to slow down from 22 m/s to 3 m/s with an acceleration of -2.1 m/s², we can use the formula:
vf = vi + at
Where vf is the final velocity, vi is the initial velocity, a is the acceleration, and t is the time.
Plugging in the values, we have:
3 m/s = 22 m/s + (-2.1 m/s²) * t
Simplifying and solving for t, we get:
t = (3 m/s - 22 m/s) / (-2.1 m/s²)
t ≈ 9.05 seconds