To begin a football game, a kicker has to kick off. The football follows the path h (x) = - 1/30x (-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=-1/30x(x -61)
(1 point)
The ball will have traveled yards before hitting the ground
To determine how far the ball will have traveled when it hits the ground, we need to solve the equation:
0 = (-1/30)x(x - 61)
To solve the equation, we set it equal to 0 and use the zero product property. By factoring the equation, we can find the values of x that make the equation true.
0 = (-1/30)x(x - 61)
Set each factor equal to 0:
x = 0 or x - 61 = 0
For the first factor, x = 0, it means that the ball has not traveled any distance yet and is still at the starting point. This is not the solution we're looking for because the ball must have traveled some distance before hitting the ground.
For the second factor, x - 61 = 0, we solve for x:
x = 61
This means that the ball will have traveled 61 yards before hitting the ground.
Therefore, the ball will have traveled 61 yards before hitting the ground.