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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: a body falls from rest. it travels the half the distance in it's last second. total time?
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sankydreams (998)

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Olaaa!! Perrrfect answer. 168  [247 rates]

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Let total dist = h
And total time = T
Given u = 0
a = g
h = g/2(T)^2...............(1)

Lets analyse the first half of motion
u = 0
s = h/2
a = g
v^2 = 0 + hg
this will be the initial velo for the second half

So for second half
u = (hg)^1/2
s = h/2
t = 1
a = g
From second eqn of motion
h/2 = (hg)^1/2 + g/2

Get h's value from this eqn and put it in (1), u will get the answer
Rate if this helps u...
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