To begin a football game, a kicker has to kick off. The football follows the path h(x) = - 1/30 * x(x - 61) where h(x) is the height of the football and x is the horizontal distance it has traveled in yards. Solve the equation to determine how far the ball will have traveled when it hits the ground 0 = - 1/30 * x(x - 61) (1 point) The ball will have traveledyards before hitting the ground

To determine how far the ball will have traveled when it hits the ground, we need to solve the equation \( h(x) = 0 \). The equation given is:

\[
0 = -\frac{1}{30} x(x - 61)
\]

To find the points where the ball hits the ground, we can set the equation inside the parentheses to zero:

\[
-\frac{1}{30} x(x - 61) = 0
\]

Now, we can solve for \( x \):

1. The product \( x(x - 61) = 0 \) gives us two solutions:
- \( x = 0 \)
- \( x - 61 = 0 \) which leads to \( x = 61 \)

Thus, the points at which the height \( h(x) = 0 \) are \( x = 0 \) yards (when the ball is just kicked) and \( x = 61 \) yards (when the ball hits the ground).

Therefore, the ball will have traveled **61 yards** before hitting the ground.