A body projected vertically upwards crosses a point twice in its journey at a height β„Ž just after 𝑑1 and 𝑑2 second. Maximum height reached by the body is

Question : A body projected vertically upwards crosses a point twice in its journey at a height β„Ž just after 𝑑1 and 𝑑2 second. Maximum height reached by the body is

(A) \dfrac{g}{4}\left( t_{1}+t_{2}\right) ^{2}

(B) \left( \dfrac{t_{1}+t_{2}}{4}\right) ^{2}

(C) 2g\left( \dfrac{t_{1}+t_{2}}{4}\right) ^{2}

(D) \dfrac{9}{4}\left( t_{1}t_{2}\right)

Answer : option (C)

Solution :

A body projected vertically upwards crosses a point twice in its journey at a height β„Ž just after 𝑑1 and 𝑑2 second. Maximum height reached by the body is
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