Question

Sports. The path of a particular punt follows the quadraticfunction

h(x)=-1/8(x-25)^2+50


Chapter 2, Section 2.1, Question 68






where h(x) is the height of the ball in yards and x corresponds tothe horizontal distance in yards. Assume x=0 corresponds tomidfield (the 50 yard line). For example,x=20 corresponds to thepunter's own 30 yard line, whereas corresponds to the other team's30 yard line.

a. Find the maximum height the ball achieves.

b. Find the horizontal distance the ball covers. Assume the heightis zero when the ball is kicked and when the ball is caught.

Maximum height = yards
Horizontal distance = yards