max speed in 6 seconds at 30 meters from the starting line
maintains that speed the rest of the race, for the remaining 70 meters
distance from the starting line in x seconds = 30+7(x-6) where x>6
max speed = 7 meters per second
6+70/7 = 16 seconds to finish 100 meters
if he averaged 30/6 = 5 meters per second from 0 to 6 seconds
then his distance from the starting line = 5z where z < 6