To solve this problem you must apply the proccedure shown below:
1. You have that If the baseball player hits a baseball from 4 feet off the ground and the problem gives the equation [tex]h = -16 t^{2} + 64 t + 4[/tex].
2. Keeping the information given in the problem on minde, you have that [tex]h=0[/tex], so you must solve the quadratic equation:
[tex] -16 t^{2} + 64 t + 4=0[/tex]
3. When you solve it you obtain the following result:
[tex]t=2+ \sqrt{17} /2[/tex]
[tex]t=2- \sqrt{17} /2[/tex]
The answer is the first option.