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 80 feet per second. The T-shirt is caught 36 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?

 y= -16t^2 + 72t + 5

v= -32t + 72.

0= -32t + 72

32t = 72

t = 9/4 or 2.25 seconds.

16(2.25)^2 + 72(2.25) + 5 = -81 + 162 + 5 = 86 feet \

lowest point is 5

highest point is 86 feet

the range is [5,86]

Step-by-step explanation:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

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step-by-step explanation: