During halftime of a footballgame, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 33 feet with an initial upward velocity of 64 feet per second. The T-shirt is caught 48 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?

Question

During halftime of a football​game, a sling shot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 33 feet with an initial upward velocity of 64 feet per second. The​ T-shirt is caught 48 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?

Steve · Answer

well, the height y at time t is

y = 33 + 64t - 16t^2

So, solve for t when y=48.
The max height is of course, when t = 64/32 = 2.

I expect you can determine the range... (restrict it to the domain involved.)

Jackson · Answer

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 64 feet per second. The​ T-shirt is caught 47 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? can you solve for max height and the amount of seconds it take to reach max height

Patrick · Answer

2.25 to get to the sky 84 is the max 3<_h<_84