A cannon ball has the same range R on a ...

A cannon ball has the same range R on a horizontal plane for two angles of projection. If `h_(1)` and `h_(2)` are the greatest heights in the two paths for which this is possible then:

`R=h_(1)h_(2)`

`R=4sqrt(h_(1)h_(2))`

`R=root(3)(h_(1)h_(2))`

`R=(h_(1)h_(2))^((1)/(4))`

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