# A body is projected vertically upwards. The times corresponding to height ℎ while ascending and while descending are 𝑡1 and 𝑡2 respectively. Then the velocity of projection is (g is acceleration due to gravity)

Question : A body is projected vertically upwards. The times corresponding to height ℎ while ascending and while descending are 𝑡1 and 𝑡2 respectively. Then the velocity of projection is (g is acceleration due to gravity)

(A) $g\sqrt{t_{1}t_{2}}$

(B) $\dfrac{gt_{1}t_{2}}{t_{1}+t_{2}}$

(C) $\dfrac{g\sqrt{t_{1}t_{2}}}{2}$

(D) $\dfrac{g\left( t_{1}+t_{2}\right) }{2}$

Solution :

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