3.3 Math 3/AFM - Quadratic Applications Polys ) Homework 1) The height h(t) of a rocket is a function of time t in seconds and is given by the formula h(t) = 300 - 1612. How long will it take the rocket to hit the ground after takeoff? 2) The position of a ball thrown into the air is given by the equation h = -161 + 80t, where time is measured in seconds. At what time does the ball reach its maximum height? 3) The position of a ball thrown into the air is given by the equation h = -16t + 50t + 10, where time is measured in seconds. What is the maximum height the ball reaches? 4) The height h(t) of a rocket is a function of time t in seconds and is given by the formula h(t) = -16t2 + 80t + 20. When will the rocket reach 40 feet? 5) The height h(t) of a rocket is a function of time t in seconds and is given by the formula h(t) = -1612 + 70t + 15. Will the rocket ever reach 275 feet?+ An open box can be made by cutting out squares from the corners of a 9-inch by 12-inch rectangular sheet of cardboard and folding up the sides. Find the dimensions of the box that maximizes the volume. Diagram: Sketch: Function: Range: Domain: What are the dimensions which yield the maximum volume? W= H= L= What is the maximum volume?\f