In a quarter-mile drag race, two cars start simultaneously from rest, and each accelerates at a constant rate until it either reaches its maximum speed or crosses the finish line. Car A has an acceleration of 10.7 m/s2 and a maximum speed of 102 m/s. Car B has an acceleration of 11.8 m/s2 and a maximum speed of 85.1 m/s.
(a) Which car wins the race? Type 1 for A, 2 for B.
(b) By how many seconds does this car win the race?