From an elevated point 𝐴, a stone is projected vertically upwards. When the stone reaches a distance ℎ below 𝐴, its velocity is double of what was at a height above 𝐴. The greatest height attained by the stone is

Question : From an elevated point 𝐴, a stone is projected vertically upwards. When the stone reaches a distance ℎ below 𝐴, its velocity is double of what was at a height above 𝐴. The greatest height attained by the stone is

(A) \dfrac{h}{3}

(B) \dfrac{2h}{2}

(C) \dfrac{h}{2}

(D) \dfrac{5h}{3}

Answer : option (D)

Solution :

From an elevated point 𝐴, a stone is projected vertically upwards. When the stone reaches a distance ℎ below 𝐴, its velocity is double of what was at a height above 𝐴. The greatest height attained by the stone is
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