Given find r(t). Obtain the locus of the point P, such that OP(vector) = r, in terms

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Given 

dr dt = -gk with r(0) = 0 and r(0) = V

find r(t). Obtain the locus of the point P, such that OP(vector) = r, in terms of x and z when V = (u, 0, v).

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