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Use the equation s = ut + 0.5 g t^2 where u is the initial velocity = 0 since it starts from rest, t is the time , and g = 9.8m/sec^2 the accln due to gravity. Plug in the values t1 = 1, t2 = 2 and t3 = 3 in the above equation and find the ratio. Note that the ratio is independent of g!
This means that this ratio will be the same on the moon also where g is different!