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Published byRamiro Hartfield Modified over 2 years ago

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How an 85 mph pitcher can throw 93 mph using math

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Using ratios Convert mph to ft/sec 1 mph= 5280 f f f ft/sec 3600 Measure the distance the ball travels 60 ft 6 inches (60.5 ft) Determine how many seconds it takes the ball to reach home plate distance = seconds to home plate ft./sec

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Calculations How many seconds does it take an 85mph pitch to get to home plate? How many seconds does it take an 85mph pitch to get to home plate? 85mph= (85)(5280/3600)ft/sec 85mph= (85)(5280/3600)ft/sec 124.67 ft/sec Time to home plate=60.5/124.67 Time to home plate=60.5/124.67.485 seconds 60.5 feet

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The Flaws Height of the mound, pitcher, and release point Height of strike zone 10 inches 74 inches 6 inches 24 inches

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The Trigonometry of pitching Use the Pythagorean theorem to solve for x 60.5 ft. x ft. 5.5 ft. 222 a b c

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The Trigonometry of pitching Use the Pythagorean theorem to solve for x 60.5 ft. x ft. b c 5.5 ft. a 30.25 + 3660.25 = x 2 x =60.75 60.75 ft

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Calculations Actual time to home plate 60.75/124.67 =.487 seconds Appears as an 84 mph fastball to the batter

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60 90 inches x inches 90(cos60) = xx = 45 inches or 3.75 ft. 3.75 ft. 56.75 ft 7.5 ft. 6.5 ft 6.5 – 2 = 4.5 ft. 4.5 ft. 56.9 ft.

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Calculations Actual time to home Plate 56.9/124.67 =.4564 Appears as an 90 mph fastball to the batter

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45 7.5 ft. 7.5cos(45) = x x 5.5 ft = x5.5 ft. 60.5 – 5.5 = 55 ft 55 ft. 5.5 – 2 = 3.5 ft. 3.5 ft. 45 55.1 ft.

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Calculations Actual time to home plate 55.1/124.67 =.4419 60.5/.4419 = 136.91 ft/sec 136.91 * 3600 5280 = 93.3 mph 93.3 mph

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