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

Options

(a) h1= h2/3= h3/5
(b) h2= 3h1 and h3 = 3h2
(c) h1= h2= h3
(d) h1= 2h2= 3h3

Correct Answer:

h1= h2/3= h3/5

Explanation:

h = 1/2 gt² h₁ = 1/2 g(5)² = 125
h₁ + h₂ = 1/2 g (10)² = 500
h = 375
h₁ + h₂ + h₃ = 1/2 g (15)² = 1125
h₃ = 625 h₂ = 3h₁, h₃ = 5h₁
or h₁ = h₂ / 3 = h₃ / 5