_ II. Applications. In these exercises you will use quadratic equations to study real-world problems. I. The height of a ball after being dropped from the roof of a BOO-foot-tall building is given by the mction h(t) = -16t2 + 300, where t is the time in seconds since the ball was dropped, and h(t) is in feet. a. How high above the ground will the ball be 3 seconds aer it was dropped? b. When will the ball be 80 feet above the ground? (Round to the nearest hundredth of a second.) c. When will the ball reach the ground? (Round to the nearest hundredth of a second.) d. For what values of t does this problem make sense (from a physical standpoint)? A farmer has 350 feet of fencing material available to construct three adjacent rectangular corrals of equal size for farm animals, as shown below. J, a. Write an equation relating the amount of fencing material available to the lengths and widths of the three sections to be fenced. b. Use the equation in part a, to write an expression for the length, y, in terms of the width, x.A c. Write an expression for the total area of the enclosed corrals in terms of the width, x. (1. Find the dimensions of the corrals that will enclose the maximum area