"Punkin Chunkin," or Pumpkin Chunking, is the sport of launching pumpkins with cannons and other mechanical devices as far as possible. Teams that compete in
these events have names such as American Chunker Inc., Fibonacci Unlimited II,
Shooda Noed Beter, and Snot Rocket. The world record was set in 2013, when a
pumpkin was launched to a height of 2250 feet and a distance of 4500 feet
(measurements have been rounded for simplicity). Assume the motion of the
pumpkin was symmetrical. Write a quadratic equation to relate the vertical
displacement y, with the horizontal displacement x. How high was the pumpkin
when it was 1000 ft away?