Question

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS*URGENT*During halftime of a ​game, a sling shot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 6 feet with an initial upward velocity of 72 feet per second. The​ T-shirt is caught 38 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

y = 38 + 72t - 16t^2

Explanation:

So, solve for t when y=48.

The max height is of course, when t = 64/32 = 2.