A ball is thrown vertically upwards. It was observed at a height โ„Ž twice with a time interval โˆ†๐‘ก. The initial velocity of the ball is

Question : A ball is thrown vertically upwards. It was observed at a height โ„Ž twice with a time interval โˆ†๐‘ก. The initial velocity of the ball is

(A) \sqrt{8gh+g^{2}\left( \Delta t\right) ^{2}}

(B) \sqrt{8gn+\left( \dfrac{g\Delta t}{2}\right) ^{2}}

(C) \dfrac{1}{2}\sqrt{8gh+g^{2}\left( \Delta t\right) ^{2}}

(D) \sqrt{8gh+4g^{2}\left( \Delta t^{2}\right) }

Answer : option (c)

Solution :

A ball is thrown vertically upwards. It was observed at a height โ„Ž twice with a time interval โˆ†๐‘ก. The initial velocity of the ball is
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