Q.

A stone projected at an angle of 60o from the ground level strikes at an angle of 30o on the roof of a building of height 'h' . Then the speed of projection of the stone is: 

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a

gh

b

6gh

c

2gh

d

3gh

answer is C.

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Detailed Solution

Let initial and final speeds of stone be u and v.

 v2=u22gh     .....(i) and vcos30=ucos60    ......(ii)

solving 1 and 2 we get

u=3gh

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A stone projected at an angle of 60o from the ground level strikes at an angle of 30o on the roof of a building of height 'h' . Then the speed of projection of the stone is: