Discuss the trajectory of the motion of the centre of mass of fire cracker that explodes in air.

When a firecracker explodes in the air, its center of mass follows the same trajectory as if no explosion had occurred. The explanation for that lies in the conservation of momentum and the dependence of the motion of the center of mass on external forces such as gravity. In that sense, before the explosion, the firecracker travels through space like any other projectile along a parabolic path. During and after the explosion, the fragments exert internal forces on one another but do not influence the center of mass. Therefore, the center of mass follows the same parabolic path determined by the initial velocity and gravitational force.

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