Question

During halftime of a basketball ​game, a sling shot launches​ T-shirts at the crowd. A​ T-shirt is launched with an initial upward velocity of 78 feet per second. The hight of the t-shirt (h) in feet after t seconds is given by the function h=-16t^2+78t+5. How long will it take the​ T-shirt to reach its maximum​ height? What is the maximum​ height? What is its maximum height?

Answer 1

1. 2.25 seconds.

2. -72/2(-16)= 2.25. f(2.25) = -16(2.25)^2 + 72(2.25) = 86 feet. I hate questions like these, let the t-shirt be launched without having it be difficult lol. hope this helps though :)