Answer:
h=15.27m
Explanation:
Since at maximum height the vertical velocity must be null it's better to use the formula:
[tex]v_f^2=v_i^2+2ad[/tex]
We will use this formula for the vertical direction, choosing the upward direction as the positive one, so we have:
[tex]0=v_i^2+2ah[/tex]
or
[tex]h=-\frac{v_i^2}{2a}[/tex]
which for our values is:
[tex]h=-\frac{(17.3m/s)^2}{2(-9.8m/s^2)}=15.27m[/tex]