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Question

A stone is dropped from 25th storey of a multistorey building and reaches the ground in 5 s. How many storey of the building will the stone cover in first second, if the height of each storey is same?
(Take g=10 m/s2)

A
1
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B
2
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C
3
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D
5
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Solution

The correct option is A 1
Let height of single storey is h, then total height from where stone was dropped, H=25h
Given, u=0,a=g,s=H,t=5
Therefore, using s=ut+12at2
H=0×t+12gt2
25h=12×10×52
h=5 m
So, height of one storey is 5 m
Now, distance travelled in 1 s=ut+12at2
=0+12g×12
=5 m
Therefore stone will pass through one storey in first second.
(A) option is correct

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