Question

Reason The height, in meters, of a punted

football with respect to time is modeled using
the function f(x) = -4.9x² + 24.5x + 1, where x
is time in seconds. You determine that the
roots of the function f(x)
4.9x2 + 24.5x + 1
are approximately -0.04 and 5.04. When does
the ball hit the ground? Explain.

Answer 1

To find when the ball hits the ground, set the quadratic function equal to zero and solve for x using the quadratic formula. The ball hits the ground at x = 5.04 seconds.

Step-by-step explanation:

To find when the ball hits the ground, we need to find the value of x when the height is zero. In the given quadratic function f(x) = -4.9x² + 24.5x + 1, we can set f(x) equal to zero and solve for x:

-4.9x² + 24.5x + 1 = 0

Using the quadratic formula, the roots of the function are approximately -0.04 and 5.04. The ball hits the ground at x = 5.04 seconds.