The ball will hit the ground at 0.125 seconds
The equation of the function is a quadratic function, and the function is given as:
[tex]h = -16t^2 + 2t[/tex]
When the ball hits the ground, the value of h is 0.
So, the equation of the function becomes
[tex]-16t^2 + 2t = 0[/tex]
Subtract 2t from both sides of the equation
[tex]-16t^2 =- 2t[/tex]
Divide both sides by -2t
[tex]8t =1[/tex]
Divide both sides by 8
[tex]t =0.125[/tex]
Hence, the ball will hit the ground at 0.125 seconds
Read more about quadratic functions at:
https://brainly.com/question/11631534