The height y (in feet) of a punted football is approximated by y = 16 2025x2 + 9 5x + 3

Chapter 3, Problem 65

(choose chapter or problem)

Height of a Projectile

The height y (in feet) of a punted football is approximated by

\(y=-\frac{16}{2025} x^{2}+\frac{9}{5} x+\frac{3}{2}\)

where x is the horizontal distance (in feet) from where the football is punted. (See figure.)

(a) Use a graphing utility to graph the path of the football.

(b) How high is the football when it is punted? (Hint: Find y when x = 0.)

(c) What is the maximum height of the football?

(d) How far from the punter does the football strike the ground?

Text Transcription:

y=-frac{16}{2025}x^{2}+\frac{9}{5}x+frac{3}{2}