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

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gcos⁡θd2(dtan⁡θ−h)

dcos⁡θg2(dtan⁡θ−h)

gd2hcos2⁡θ

gd2(d−h)

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detailed solution

Correct option is B

h=(usin⁡θ)t−12gt2d=(ucos⁡θ)tor t=ducos⁡θ∴h=usin⁡θ⋅ducos⁡θ−12g⋅d2u2cos2⁡θ∴u=dcos⁡θg2(dtan⁡θ−h).

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

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