A fire engine has a thinking distance of 4.0 m and a braking distance of 8.0 m when travelling at 8.0 m/s. The speed is increased to 12.0 m/s. The driver's reaction time, the mass of the fire engine and the resultant braking force remain unchanged. What is the stopping distance at 12.0 m/s?
24 m24\ \mathrm{m}24 m
21 m21\ \mathrm{m}21 m
18 m18\ \mathrm{m}18 m
27 m27\ \mathrm{m}27 m