What was the acceleration of each sprinter? What were their respective maximum speeds? ?

Setting a world record in a 100 m race, Maggie and Judy cross the finish line in a dead heat, both taking 10.0 s. Accelerating uniformly, Maggie took 2.00 s and Judy 2.60 s to attain maximum speed, which they maintained for the rest of the race.What was the acceleration of each sprinter? What were their respective maximum speeds? ?
Maggie accelerated at 5 and 5/9 meters per second per second.

Maggie has a maximum speed of 11 and 1/9 meters per second.

Judy accelerated at 4.42 meters per second per second.

Judy has a maximum speed of 11.49 meters per second.



The distance traveled is 1/2*A*t*t +(10-t)*A*t=100meters

substituting t=2 and t=2.6 gives a formula that can be solved for "A"

V=A*t

substituting 2 and 2.6 for t and the values found above for A in this formula results in the maximum velocities achieved in the race.