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Q.

If a stone is to hit at a point which is at a distance d away and at a height h (Fig.) above the point from where the stone starts, then what is the value of initial speed u if the stone is launched at an angleθ ?

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a

gcosθd2( dtanθ-h)

b

dcosθg2(dtanθ-h)

c

gd2 hcos2θ

d

gd2( d-h)

answer is B.

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Detailed Solution

h=(usinθ)t-12 gt2 d=(ucosθ)t or   t=ducosθ h=usinθducosθ-12 gd2u2cos2θ u=dcosθg2(dtanθ-h)
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If a stone is to hit at a point which is at a distance d away and at a height h (Fig.) above the point from where the stone starts, then what is the value of initial speed u if the stone is launched at an angleθ ?