During the halftime of a basketball game, a sling shot launches T-shirts at the crowd. A T-shirt is launched a height of 5 feet with an initial upward velocity of 88 feet per second. The t-shirt is caught 35 ft above the field. a. How long will it take the T-shirt to reach its maximum height?

b. What is the maximum height?

c. What is the range of the function that models the height of the T-shirt over time?