dant mixture of yen Redundantur- 5. The baseball team pitcher was asked to participate in a demonstration for his math class. He took a baseball to the edge of the roof of the school building and threw it up into the air at a slight angle, so that the ball eventually fell all the way to the ground. The class determined that the motion of the ball from the time it was thrown could be modeled closely by the function, h(t) = -16t2 + 64t + 80 where Ch (t) represents the height of the ball in feet after t seconds. a.. Find the maximum or minimum value of the function. After how many seconds did the ball reach this value? Show how you found your answers. n(t)=-16+2+64+ +80 *=dx2+bx+c - 64 ( 2 x - 16 ) = 2 seconds maximum b. How long is the ballin the air? Explain your answer? 0 =- 16+2+64+ +80 h ( 2 ) = - 16 (2)2+64 (2 )+80 h (2 ) = - 64 + 128+80 h ( 2 ) - 144k+ 5 0 = 2+2- 8+- 10 O =+ 2 - 4 + - 5 0 = (-5) ( + + 1 ) c. Graph the function indicating the vertex, axis of symmetry, intercepts, and the point representing the ball's maximum or minimum height. Label your axes using appropriate scales