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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

1. h₁ = h₂ / 3 = h₃ / 5
2. h₂ = 3h₁ and h₃ = 3h₂
3. h₁ = h₂ = h₃
4. h₁ = 2h₂ = 3h₃

Correct answer: h₂ = 3h₁ and h₃ = 3h₂

Solution

For a freely falling object, the distance covered in successive equal time intervals follows the odd number ratio (1:3:5). Thus, h₂ = 3h₁ and h₃ = 3h₂.

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