Halliday, Resnick & Walker — Motion in Two and Three Dimensions: Problem 112

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 \(g = 9.8128 \text{ m/s}^2\)). 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 \(g = 9.7999 \text{ m/s}^2\))?