$\"\"$

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A base ball player hits the ball at a angle is $\"\"$

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An intial sped of $\"\"$ feet per second.

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The bat is $\"\"$ feet from the ground at the time of impact.

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Find the distance.

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General form of parametric equation from vertical position:

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$\"\"$

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Where $\"\"$ , $\"\"$ and $\"\"$ , $\"\"$ .

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Substitute all values in general form of parametric equation.

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$\"\"$

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$\"\"$ .

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$\"\"$

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Assuming the ball is not caught, then the ball is vertically fall down ( $\"\"$ ).

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$\"\"$

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$\"\"$ and $\"\"$ .

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General form of parametric equation from horizontal position : $\"\"$ .

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in the $\"\"$ .

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$\"\"$

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$\"\"$

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The maximum distance is $\"\"$ .

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Substitute $\"\"$ in the $\"\"$ .

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$\"\"$

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$\"\"$

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The minimum distance is $\"\"$ $\"\"$

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The distance traveled by the ball is $\"\"$ .