The range of a projectile depends not only on v0 and but also on the value g of the

Chapter 4, Problem 112

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The range of a projectile depends not only on \(v_{0}\) and \(\theta_{0}\) but also on the value g of the free-fall 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 at Berlin (where \(g=9.8128 \mathrm{~m} / \mathrm{s}^{2}\) ). Assuming the same values of \(v_{0}\) and \(\theta_{0}\) , by how much would his record have differed if he had competed instead in 1956 at Melbourne (where \(g=9.7999 \mathrm{~m} / \mathrm{s}^{2}\) )?

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