Problem 8. A baseball is launched into the air with an upward velocity of 106 feet per second.The height of the baseball after t seconds can be represented by the function f(t) given byf(t) = -16t² + 106t + 9.3. (Round all your answers to three decimal places, if needed.)a) Find the time it takes for the baseball to reach its maximum height.b) What is the maximum height?c) When will the baseball hit the ground?