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?

Answer 1

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.)

Answer 2

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

Answer 3

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