The Great Santini is shot out of a cannon from the roof of a building with height ho- His height, h, in meters, above the ground at time , in seconds, is given by h = f(t) = -52+ 30t + 45. h ho- (a) At what value of time t does he reach his maximum height? Number seconds (b) Write f(t) in vertex form: At) = TIP: Click on the Plot icon (p) next to the answer box to graph your response. (Although your answer may match the graph, it will be counted incorrect if it is not in the form requested.) (c) At what value of time t will he hit the ground? Number seconds Round any noninteger answers to two decimal places. (d) At what value of time t will he be 34.2 meters in the air? Number seconds. Round any noninteger answers to two decimal places. (e) Report the domain of f(t), restricted to the context of the problem situation. Number Ets Number Round any noninteger answers to two decimal places. (f) Report the range of f(t), restricted to the context of the problem situation. Number S At) = Number Round any noninteger answers to two decimal places. (g) Once Santini reaches his maximum height, report the exact horizontal amount of time until he hits the ground. This value is the exact length of the blue horizontal segment marked on the t-axis on the graph below. TIP: To enter vw type sqrt (w) or w^ (0.5) The exact length of the horizontal segment is Number (Do not report a rounded answer. Your answer contains math symbols.)