Q$5.$ A small ball is launched at initial velocity $v_A$ as shown in Figure $5.$ Neglecting air resistance, it is found that as the ball leaves the nozzle at $A,$ the radius of curvature of the path is $28$ m $,$ where $x$ is the second last digit of your student number $($e$.$g$.27$ m if your number is $12345678$A$).$ Determine the radius of curvature of the path when the ball reaches the highest position $B.[10$ marks$]$