The path of a volley ball thrown over a net is modeled with the function A(x) = -0.02x2 + 0.6x + 5, where x is the horizontal distance, in feet, from
the starting point and A is the altitude of the ball, in feet. About how far does the ball travel horizontally before it hits the ground? Round your
answer to the nearest whole number.
about _ft

The ball travel horizontally 37 feet before it hits the ground

Step-by-step explanation:

we have

where

x ----> is the horizontal distance in feet

A --->  is the altitude of the ball, in feet.

we know that

When the ball hit the ground, the altitude of the ball is equal to zero

so

For A(x)=0

solve the quadratic equation

The formula to solve a quadratic equation of the form

is equal to

in this problem we have

so

substitute in the formula

therefore

The ball travel horizontally 37 feet before it hits the ground