Q. A stone falls freely under gravity. It covers distances h₁, h₂ and h₃ in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h₁, h₂ and h₃ is

A) h₁ = 2h₂ = 3h₃
B) h₁ = h₂/3 = h₃/5
C) h₂ = 3h₁ and h₃ = 3h₂
D) h₁ = h₂ = h₃
Explanation

[Solution from source] Starting from rest, distances covered in successive equal time intervals are in the ratio 1 : 3 : 5 (Galileo's law of odd numbers). So h₂ = 3h₁ and h₃ = 5h₁, i.e. h₁ = h₂/3 = h₃/5. Equal distances would hold only for uniform velocity. Answer (2).

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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