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NDA 2018 GAT · General Knowledge · Motion, Forces and Gravitation · medium

A freely falling body starting from rest covers distances in successive equal seconds in the ratio

Single correct option

A freely falling body starting from rest covers distances in successive equal seconds in the ratio
  1. A. 1 : 2 : 3
  2. B. 1 : 4 : 9
  3. C. 1 : 1 : 1
  4. D. 1 : 3 : 5
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Answer: (D) 1 : 3 : 5

From s = (1/2)gt², distance in the nth second is (g/2)(2n − 1), giving the ratio 1 : 3 : 5 for the first three seconds. The ratio 1 : 4 : 9 is for total distances from the start, not for distances in each successive second, which is the usual trap. Equal distances would mean constant speed.
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Original question written in the NDA 2018 GAT pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake