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Q.

A mango in a tree is located at a horizontal and vertical distance of 30m and 40m, respectively, from the point of projection of a stone. Find the minimum speed and the critical angle of projection of the stone so as to hit the mange

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a

30 ms-1,tan1(3)

b

40 ms-1,tan1(4)

c

40 ms-1,cot1(3)

d

40 ms-1,tan1(3)

answer is A.

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Detailed Solution

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If a projectile is to pass through a point (a,b) then the minimum velocity of projection is
umin=gb+a2+b2, here umin=1040+302+402=30ms-1
and angle of projection is tan1umin2ag

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