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El enésimo segundo transcurre entre t = n y t = n - 1
yn = 1/2 g n²
y(n-1) = 1/2 g (n - 1)² = 1/2 g (n² - 2 n + 1)
El desplazamiento es: yn - y(n-1) = d
d = 1/2 g n² - 1/2 g (n² - 2 n + 1)
Finalmente d = 1/2 g (2 n - 1)
Saludos mave