No. Even if he was sober he would manage to drop to a speed of
The distance it will take for the drunk man to stop is the reaction distance plus the brake distance:
During the reaction time, speed is constant, so the distance is:
The brake is decellerative motion, so:
The distance needed to stop is:
The total stop distance:
Child is dead. Here are some bonuses:
a) What if the man was not drunk?
Reaction distance changes since the reaction time is now 0.19 sec:
The distance now becomes:
Child is still dead.
b) What is the velocity with which the child was hit?
If the driver was drunk, after 5 meters, that means at 20,1 meters close to the child he started decellerating. The impact distance is:
Solving this quadratic gives:
We accept the smallest value, supposing he doesn't want to reverse and run the child over again. Finally, to find the velocity:
If you do the same with a sober driver you will find the child was hit with