Repeated braking has caused the brakes of a refuse collection lorry to overheat. The lorry is moving at a constant speed of 12 m/s when the driver notices a hazard. The brakes are applied 0.75 s later, and the lorry comes to rest 33 m beyond the point where the hazard was noticed. When the brakes are overheated, the constant resultant braking force is 23\dfrac{2}{3}32 of the force produced at normal temperature.
What is the braking distance of the lorry at the same initial speed when the brakes are at normal temperature?
22 m22\ \mathrm{m}22 m
36 m36\ \mathrm{m}36 m
24 m24\ \mathrm{m}24 m
16 m16\ \mathrm{m}16 m