During halftime of a basketball ​game, a slingshot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 4 feet with an initial upward velocity of 80 feet per second. The​ T-shirt is caught 32 feet above the court. How long will it take the​ T-shirt to reach its maximum​ height? What is the maximum​ height? What is the range of the function that models the height of the​ T-shirt over​ time? The​ T-shirt takes nothing ​second(s) to reach its maximum height.
​(Type an integer or a​ decimal.)