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Safe...Then Out...Then...

It takes three-fourths of a second for a ball to go from the pitcher to the catcher, and one-half of a second for the catcher to handle it and get off a throw to second base. It is 90 ft. from first base to second, and 130 feet from the catcher’s position to second. A runner stealing second has a start of 13 ft. when the balls leaves the pitcher’s hand, and beats the throw to the base by one-eighth of a second. The next time he tries it, he gets a start of only 3 1/2 ft., and is caught by 6 ft. What is his rate of running, and the velocity of the catcher’s throw?


Source: Mathematics exam given at Cornell University, 1911.