Imagine yourself standing on the roof of the 1450-foot sears tower in chicago. when you throw a baseball upward from the roof of the tower, the ball's height above the ground, h (in feet), can be described as a function of the time, t (in seconds), since the ball was dropped. this height function is defined by h(t) = -16t? + 80t +1450 a. identify the vertical intercept and what does it mean in the context of the problem b. after the baseball is thrown, how long will the ball hit the ground? c. your answer to question #2 identifies one horizontal intercept of the equation. identify another horizontal intercept and discuss whether it makes sense in the context of the problem. d. find the vertex of the equation and interpret it meaning in the context of the problem. e. how far from the ground is the ball after 8 seconds? f. at what time(s) is the ball 1500 feet above the ground? g. identify the practical domain in the context of the problem. h. identify the practical range in the context of the problem.