A mortar fires a shell of mass ( m ) at speed ( v_{0} ). The shell explodes at the top of its trajectory (shown by a star in (Figure 1)) as designed. However, rather than creating a shower of colored flares, it breaks into just two pieces, a smaller piece of mass ( frac{1}{5} m ) and a larger piece of mass ( frac{4}{5} m ). Both pieces l

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A mortar fires a shell of mass  ( m  ) at speed  ( v_{0}  ). The shell explodes at the top of its trajectory (shown by a star in (Figure 1)) as designed. However, rather than creating a shower of colored flares, it breaks into just two pieces, a smaller piece of mass  (  frac{1}{5} m  ) and a larger piece of mass  (  frac{4}{5} m  ). Both pieces land at exactly the same time. The smaller piece lands perilously close to the mortar (at a distance of zero from the mortar). The larger piece lands a distance  ( d  ) from the mortar. If there had been no explosion, the shell would have landed a distance  ( r  ) from the mortar. Assume that air resistance and the mass of the shell's explosive charge are negligible.  Figure 1 of 1  Find the distance  ( d  ) from the mortar at which the larger piece of the shell lands. Express  ( d  ) in terms of  ( r  ).

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