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Range of Sports Statistics

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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Let x be the angle of the initial (trajectory) velocity s with the ...

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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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