A particle falls through the same vertical distance at two different places on Earth

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A particle falls through the same vertical distance at two different places on Earth. At one place it takes nn seconds less and reaches a final speed that is mm ft/s greater than at the other place. Show that (m/n)(m/n) equals the geometric mean of the values of gg at the two places.

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