Question

The range of a projectile depends not only on v0 and θ0 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 m/s2). Assuming the same values of v0 and θ0, by how much would his record have differed if he had competed instead in 1956 at Melbourne (where g = 9.7999 m/s2)?

Answer 1

We know that the horizontal range

. ..1

In 1936

R=8.09 m , g=9.8128 m/s^2

Put in equation 1

. ..2

In 1956

Here g' =9.7999m/s^2

Using equation 2

R' =8.10 m answer