Aball 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 h = −16t2 + 36t + 5. 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; 5 ft

b. 1.13 s; 25.25 ft

c. 1.13 s; 27.5 ft

d. 1.13 s; 65.75 ft