A certain sprinter has a top speed of 10.6 m/s. If the sprinter starts from rest and accelerates at a constant rate, he is able to reach his top speed in a distance of 10.1 m. He is then able to maintain his top speed for the remainder of a 100 m race.
(a) What is his time for the 100 m race?
(b) In order to improve his time, the sprinter tries to decrease the distance required for him to reach his top speed. What must this distance be if he is to achieve a time of 10.3 s for the race?