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" "Almost all of fluid dynamics follows from a differential equation called the Navier-Stokes equation. But this general equation has not, in practice, led to solutions of real problems of any complexity. In this sense, the curve of a baseball is not understood; the Navier-Stokes equation applied to a base ball has not been solved.
Robert Kemp Adair (born August 14, 1924 – September 28, 2020) is an American physicist. He is Sterling Professor Emeritus of physics at Yale University.
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We not that those players with weaker arms might be better off throwing at a lower angle to get the ball to the plate on the bounce. If the surface is Astroturf, the 90-mph player can gain as much as 0.2 seconds, or 6 feet, on the runner by throwing on the bounce. But if his team is playing on grass and his groundskeeper has kept the grass long and well watered to help his team (which relies on singles, speed, and baserunning), the ball may lose so much speed at the bounce that nothing will be gained.