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=-(2-61)
(1 point)
The ball will have traveled yards before hitting the ground
To solve the equation, we need to set h(x) = 0 since the ball hits the ground when the height becomes zero. Let's substitute h(x) = 0 into the given equation:
0 = -1/30x^2 - 61
Now, we can solve for x. Multiplying both sides of the equation by -30 to eliminate the fraction:
0 = x^2 + 1830
Rearranging the equation:
x^2 = -1830
Taking the square root of both sides:
x = ±√(-1830)
Since we are dealing with real-world distances, we can ignore the negative root. So the ball will have traveled √1830 yards before hitting the ground.