Given: A spring with a stifness $K=320\frac{N}{m}$ and an unstretched length of $8cm.$ Initially, it is compressed to $2cm($at $A)$ by a massless plate which holds, at rest, a ball of mass $0\mathrm{.}05kg.$ When the plate is released, the ball is sent upward while the plate is stopped with a $.($compression of $4cm($at $B$

$uar{r}^C$

Please fill in the blank your answer with two decimal places $($for example $123\mathrm{.}45).$ Do not add the units in the blank The final height of the ball $h($in $m)$ at $C$

$=h,m$