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An object is projected from ground with ...

An object is projected from ground with speed u at angle `theta` with horizotal the radius of curvature of its trajectory at maximum height from ground is

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If .m. is mass of shell, at highest point, initial momentum =`m(vcostheta)`, along horizontal given, momentum of one fragment `=m/3 (-v cos theta)`
momentum of second along horizontal = 0
If `V_(1)` is speed of third fragment, from momentum conservation
`=-m/3 v cos theta + m/3 v_(1) + 0 =m(v cos theta), v_(1) =4v cos theta`
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