14. A pumpkin tossing contest is held each year in Morton, Illinois, where people compete to see whose catapult will send pumpkins the farthest. One catapult launches pumpkins from 25 feet above the
ground at a speed of 125 feet per second. The table below shows the horizontal distances (in feet) the
pumpkin travels when launched at different angles of elevation.
Angle (degrees) 20
30
40 50 60 70
Distance (feet) 372 462 509 501 437 323
(A) Find the quadratic equation that best models the data.
14a)
(B) Predict the distance if the elevation is 25º.
14b)
140)
(C) What would the angle of elevation have to be for the
Pumpkin to be 400 feet away?