approximately 2.5 seconds
To calculate the time taken for the car to come to rest, we can use the equation of motion:
v = u + at
Description:
v = final velocity (0 m/s since the car comes to rest)
u = initial velocity (30 m/s)
a = acceleration (deceleration in this case, which is -12 m/s²)
t = time
Rearranging the equation, we have:
t = (v - u) / a
Substituting the given values, we get:
t = (0 - 30) / (-12)
Simplifying the equation further:
t = 30 / 12
t ≈ 2.5 seconds
Therefore, the time taken for the car to come to rest is approximately 2.5 seconds.