Question

A stone falls freely under gravity. It covers distances hy,h,
and hy in the first 5 seconds, the next 5 seconds and the
next 5 seconds respectively. The relation between h,,h,
and hy is
[2013]
h2, h3
(a) hi= 3-5
(b) h2 = 3h, and hz = 3h2
(c) h, =h2 = hz
(d) h = 2h2 = 3h2​

Answer 1

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