Answer
The car will NOT stop before hitting the child.
Work Step by Step
Distance traversed in first 0.5 s $= 11.11\times0.5m=5.55m$
So, remaining distance = $13-5.55=7.45m$
From problem 48, we see that S=7.71m is traversed till the car stops, which is greater than 7.45m, so the car will NOT stop before hitting the child.