A $55-kg$ boy is bouncing on a trampoline. During a certain interval while he is airborne, his kinetic energy decreases from $450$ J to $200$ J $.$ How high does he rise during this interval? Neglect friction.

A$)0\mathrm{.}67$ m

B$)0\mathrm{.}46$ m

C$)4\mathrm{.}54$ m

D$)0\mathrm{.}10$ m

E$)46$ m