A group of students makes a t-shirt launcher to shoot t-shirts into the stands at home football games. The function h(t) = -16t2 + 18t + 6 models the flight of a t-shirt that is launched, where h(t) is the height of the t-shirt in feet after t seconds. Part A: What is the maximum height of a t-shirt after it is launched?

Part B: After how many seconds will the t-shirt reach its maximum height?

Part C: The t-shirts are flying to high so the students make some modifications to the launcher, to try to decrease the maximum height. This time the t-shirt's flight is given by the equation: h(t) = -16t2 + 40t + 6. Did the t-shirts fly higher the first or second time? Explain how you know this. (10 points)