The path of a particular punt follows the quadratic

function

where h(x) is the height of the ball in yards and x corresponds to the horizontal distance in yards. Assume x = 0 corresponds to midfield (the 50 yard line). For example, x = -20 corresponds to the punter’s own 30 yard line, whereas x = 20 corresponds to the other team’s 30 yard line.

a. Find the maximum height the ball achieves.

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

Transcribed Image Text:

The path of a particular punt follows the quadratic function h(x) = - 8/125 (x + 5)^2 + 40 where h(x) is the height of the ball in yards and x corresponds to the horizontal distance in yards. The path of a particular punt follows the quadratic function h(x) = - 8/125 (x + 5)^2 + 40 where h(x) is the height of the ball in yards and x corresponds to the horizontal distance in yards.

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