Step-by-step explanation:
To find the car's final velocity, we can use the kinematic equation:
v = u + at
where:
v = final velocity
u = initial velocity (which is 0 m/s since the car starts from rest)
a = acceleration
t = time
Given:
u = 0 m/s
a = 2.4 m/s^2
t = 12.0 s
Plugging these values into the equation:
v = 0 + (2.4 m/s^2) * (12.0 s)
v = 0 + 28.8 m/s
v = 28.8 m/s
Therefore, the car's final velocity after accelerating at a rate of 2.4 m/s^2 for 12.0 seconds is 28.8 m/s.