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Los datos que tienes son:
vi = 0 cm/s
a = 16 cm/s²
d = 2,56 m = 256 cm
t = ?
Calculamos el tiempo
d = 1/2 at²
256 cm = 1/2 (16 cm/s²) (t)²
256 cm = 8 cm/s² (t)²
(256 cm) / (8 cm/s²) = t²
32 s² = t²
√32 s² = t
5,65 s = t
Respuesta
t = 5,65 segundos