A tortoise and a hare are having a 1,000-meter race. The tortolse runs the race at a constant speed of 0.023 m/s. The hare moves at an average speed
of 1.50 m/s for 10.0 minutes and then decides to take a nap. After waking up
from the nap, the hare recognizes that the tortoise is about to cross the
finish line and immediately accelerates from rest with a constant acceleration
of 0.500 m/s2 for the remaining distance of the race. If both racers finish
simultaneously, what is the time in hours that the hare napped?