Final answer:
Felipe's car takes approximately 4.375 seconds to come to a stop after applying the brakes.
Step-by-step explanation:
To calculate the time it takes for Felipe's car to stop after applying the brakes, we can use the following kinematic equation that relates velocity, acceleration, and time:
v = u + at
Where:
v is the final velocity (0 m/s because the car stops)
u is the initial velocity (28 m/s)
a is the acceleration (which is negative here because the car is slowing down, so -6.4 m/s2)
t is the time (which we need to find)
Rearranging the equation to solve for t gives:
t = (v - u) / a
Substituting in our values:
t = (0 m/s - 28 m/s) / (-6.4 m/s2)
t = 28 m/s / 6.4 m/s2
t = 4.375 seconds
Therefore, it takes Felipe's car approximately 4.375 seconds to come to a stop after he applies the brakes.