Question

PLEASE HELP ME!!!!!!!!>>>>>>>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 44 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?

Answer 1

s = -16t^2 + 88t + 5
Time to reach the maximum height = 88/32
= 2.75 seconds
Maximum height = -16(2.75)^2 + 88 (2.75) +5
= -121 + 242 + 5
= 126 Feet
Range: 5<y<44