A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function . In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?

a. 2.25 s; 9 ft
b. 1.13 s; 31.5 ft
c. 1.13 s; 69.75 ft
d.1.13 s; 29.25 ft