A bomb travelling in a parabolic path under the effect of gravity, explodes in mid air. The centre of mass of fragments will?

Options

A. move vertically upwards and then downwards
B. move vertically downwards
C. move on irregular path
D. move on the parabolic path as the unexploded bomb would have traveled

Explanation

Before explosion `vec(a)_(cm)=(vec(F)_(ext))/(M)=(mg)/(M)=g`
After expiosion `a_(cm)=(F_(ext))/(M)=(m_(1)g+m_(2)g+m_(3)g+….)/(m_(1)+m_(2)+m_(3)+…)=g`
During explosion the forces acting on the particles of the system are internal forces or impact forces If we take the total particles, that means the bomb as a system. The centre of mass of the bomb will continue to move in its initial parabolic path.