During halftime of a football game, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 5 feet with an initial upward velocity of 88 feet per second. The T-shirt is caught 33 feet above the field. 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 height is
y = -16t^2 + 88t + 5
so max height is reached at t = b/2a = 88/32
So just find y(11/4) = 126
and then the range is the interval [5,126]