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Center of mass of bomb fragments

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A plane, flying horizontally, releases a bomb, which explodes before it hits the ground. Neglecting air resistance, what is the center of mass of the bomb fragments just after exploding?

I think they move along a parabolic path?

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This solution discusses the center of mass of a bomb released from a plane.

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The center of mass of the fragments just after exploding is the position of the bomb just before exploding.

Afterwards, the position of the center of mass will be less predictable, as the fragments will be affected by the AIR ...

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