A sprinter running straight reaches his maximum speed vmax in 2 seconds from rest with constant acceleration. He then maintains that speed until he looks back to see that the other sprinters in the race are far behind. At this moment, he starts showboating and slowing down at a constant rate until he reaches the finish line at a velocity of 2 m/s. If the slowing down portion of his race takes 1 second and he finishes the race of 100 m in a total of 9.6 seconds, determine his maximum speed vmax .