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 + 9. 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. 1.13 s; 69.75 ft

b.1.13 s; 29.25 ft

c.2.25 s; 9 ft

d.1.13 s; 31.5 ft