The $1$kg grenade is thrown vertically up with initial speed of $25$m$/$s$.$ It explodes in a mid$-$air in such a way that both of its fragments have no horizontal components of velocity after the explosion. If the maximum height reached by the $0\mathrm{.}2$ kg fragment is equal to $40$m$,$ what is the maximum height reached by the $0\mathrm{.}8$ fragment? A$)28\mathrm{.}2$m B$)29\mathrm{.}9$m C$)31\mathrm{.}9$m D$)32$m E$)$ none of these answers