Final answer:
It takes approximately 3.61 seconds for a car with an initial speed of 22 m/s to come to rest if it decelerates at a rate of -6.1 m/s².
Step-by-step explanation:
To determine how much time it takes for a car to come to rest if it has an initial speed of 22 m/s and an acceleration of -6.1 m/s², we use the kinematic equation that relates initial velocity, acceleration, and time. The equation we'll use is:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Since the car is coming to rest, the final velocity v will be 0 m/s. Rearranging the equation to solve for t gives us:
t = (v - u) / a
Plugging in the values:
t = (0 m/s - 22 m/s) / (-6.1 m/s²)
t = -22 m/s / -6.1 m/s² = 3.61 seconds (rounded to two decimal places)
Therefore, it takes approximately 3.61 seconds for the car to come to rest.