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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

2gh

b

6gh

c

3gh

d

gh

answer is C.

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Detailed Solution

Let initial and final speeds of stone be u and v.∴ v2=u2−2gh     .....(i) and vcos⁡30∘=ucos⁡60∘    ......(ii)solving 1 and 2 we getu=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: