Question

A, B, C and D are points in a vertical line such that AB = BC = CD. If a body falls from rest from A, then the
times of descend through AB, BC and CD are in the ratio :
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Answer 1

Answer:

Let ab = bc = cd = x

=> x = (1/2)gt1^2

2x = (1/2)gt2^2

3x = (1/2)gt3^2

=>

t1 = √(2x/g)

t2 = √(4x/g) and

t3 = √(6x/g)

=>

ratio of times of descent through ab, bc and cd

= t1 : (t2 - t1) : (t3 - t2)

= √(2x/g) : √(4x/g) - √(2x/g) : √(6x/g) - √(4x/g)

= √2 : (2 - √2) : (√6 - 2).

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