5.3 Notes
Day 2
APPLICATIONS OF QUADRATICS
1) A ball is thrown into the air with an initial velocity of 15 feet per second. The ball was 5 feet off the
ground when it was released. The equation h = -16t2 + 15t + 5 models the height of the ball. How
long does it take for the ball to hit the ground?
2) An open top box is made by cutting 3 inch squares from each corner of a square piece of cardboard
and then folding up the flaps. The volume of the box is to be 1083 cubic inches. Find the dimensions
of the original piece of cardboard.
3) A homeowner wants to install a deck around her swimming pool. The swimming pool is a rectangle and
measures 25 feet by 32 feet. The deck is to have the same width all the way around the pool. What should
be the width of the deck if she has 310 square feet of decking material?
4) A farmer wants to build a rectangular fence near a river, and will use 120 ft of fencing. What are the
dimensions of the largest region that can be enclosed if the side next to the river is not fenced?