During halftime of a basketball game, a sling shot launches T-shirts at the crowd. A T-shirt is launched with an initial upward velocity of 78 ft/s. The height of the T-shirt (h) in feet after t seconds is given by the function h = −16t^2 + 78t + 5. How long will it take the T-shirt to reach its maximum height? What is its maximum height?
a. 1.22 s, 76.35 ft
b. 2.44 s, 146.28 ft
c. 2.44 s, 100.06 ft
d. 2.44 s, 131 ft