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    Range of Sports Statistics

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    3. The distance "R" a ball travels is given by
    R= 2VxVz/g where Vx is the horizontal velocity and Vz is the vertical velocity. Maximize R over all velocities (Vx,Vz),(square root of V2/x + V2/z = s, to show that the best trajectory is 45 degrees.

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    Solution Summary

    The solution determines the distance that the ball travels, and shows that the best trajectory is 45 degrees.