Final answer:
The car takes 1.43 seconds to attain a speed of 6 m/s.
Step-by-step explanation:
To find the time it takes for the car to reach a speed of 6 m/s, you can use the equation:
vf = vi + at
Where:
vf = final velocity = 6 m/s
vi = initial velocity = 0 m/s (since the car starts from rest)
a = acceleration = 4.2 m/s²
t = time
Substituting the given values into the equation:
6 m/s = 0 m/s + 4.2 m/s² * t
6 m/s = 4.2 m/s² * t
Solving for t:
t = 6 m/s / 4.2 m/s²
t = 1.43 seconds