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A firework, as shown in the image below is launched at an angle. The firework is a dud and comes crashing to the ground in one piece at position, $X$, marked in the image, traveling a distance, $d$. A second firework of the same type is fired in exactly the same way. This firework explodes as intended and some debris comes falling to the ground. You tediously map out each piece of debris.

Ignoring air resistance, which of the following statements describe where you find the center of mass of the debris?

A

The center of mass of the debris is found at a distance, $d$, from the launch point.

B

The center of mass of the debris is found at a distance greater than d, if and only if, there are more pieces of debris located farther away than $d$, than pieces of debris located closer than $d$.

C

The center of mass of the debris is found at a distance less than $d$, if and only if, there are more pieces of debris located farther away than $d$, than pieces of debris located closer than $d$.

D

The center of mass of the debris is found at a distance greater than d because the firework explosion causes the debris to travel a greater distance.

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