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According to Eq. 4-14, the range of a projectile depends not only on v 0 and ∅ 0 but also on the value g of the gravitational acceleration, which varies from place to place. In 1936, Jesse Owens established a world's running broad jump record of 8.09 m at the Olympic Games in Berlin (g = 9.8128 m/s 2 ). Assuming the same values of v 0 and ∅, by how much would his record have differed if he had competed instead in 1956 at Melbourne (g = 9.7999 mls 2 )? (In this connection see "The Earth's Gravity," by Weikko A. Heiskanen, Scientific Ameri- call, September 1955, p. 164.)
Therefore the range of Jesse Owens would have varied by 0.0105 m in Melbourne relative to that in Berlin.
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