2. A basketball player passes the ball to a teammate. The ball leaves the player's hand 5 feet above the ground and has an initial vertical velocity of 55 feet per second. The teammate catches the ball when it returns to a height of 5 feet. How long is the ball in the air? 4. A science center has a rectangular parking lot. The science center wants to add 18,400 square feet to the area of the parking lot by expanding the existing parking lot as shown. a) Write an equation that could be used to solve to find the value of x. Ex+ 270 ft b) Solve the equation from part a. By what distance x should the length and width of the parking lot be expanded? Fx+ 150 ft 6. An object is launched upward with an initial velocity of 64 feet per second from a platform 80 feet high. a) Write an equation that models the path of the object. b) When will the object reach a maximum height? c) How many seconds until the object hits the ground? d) When is the object 50 feet above the ground? 8. Leo is constructing a box without a lid out of a sheet of cardboard that is 6" long and 3" wide. He makes a square flap of side length x in each corner by cutting along one of the flap's sides and folding along the other. He folds up the four sides of the box and glues each flap to the side it Overlaps. Write an expression, in terms of x, for the volume of the box. 6 in. 10. Suppose you have 250 cubic inches of clay with which to make a sculpture shaped as a rectangular prism. You want the height and width each to be 5 inches less than the length. What should the dimensions of the prism be? 3 in.