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Q.

A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone starts to fall from a point 25m below the top. Both stones reach the bottom of  building simultaneously. The height of the building is

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a

45 m

b

50 m

c

25 m

d

35 m

answer is A.

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Detailed Solution

Time of release of  2nd stone is when 1st stone falls for 5m.∴5=12gt2⇒t=2×510=1sLet say in time t 1st stone from top reaches to ground. So, 2nd stone will reach ground in (t-1).∴disp of 1st stone = disp of 2nd stone + 25⇒12gt2=12g(t−1)2+25⇒5t2=5t2+1−2t+25⇒10t=30⇒t=3sec For 1st stone, h=12gt2⇒h==12×10×9=45m
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A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone starts to fall from a point 25m below the top. Both stones reach the bottom of  building simultaneously. The height of the building is