A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses in the ratio 2: 2: 3. The two pieces of equal masses fly…

A body of mass $\displaystyle 14$ kg initially at rest explodes and breaks into three fragments of masses in the ratio $\displaystyle 2$ : $\displaystyle 2$ : 3. The two pieces of equal masses fly off perpendicular to each other with a speed of $\displaystyle 18 \mathrm{~m} / \mathrm{s}$ each. The velocity of the heavier fragment is $\displaystyle \_\_\_\_$ m/s.