.
It is VERY WELL KNOWN FACT that the equation for the height as the function of time is
h(t) = -16t^2 + 56t.
The axis of symmetry is half-way between the roots of the equation
-16t^2 + 56t = 0, which is
= 0.
The roots are t = 0 and t = , so half-way between the roots is = = .
Are you satisfied ?
This problem was solved couple of days ago under this link
https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.1115537.html
https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.1115537.html