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Try to plot chords which represent the distance between the pitcher and the ball.

The derivative of increasing function is positive.

The algebra is much simpler if you try to find a relationship between initial velocities in horizontal and vertical directions.

 

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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