A classical mechanics problem by Anik Mandal

Classical Mechanics Level 3

A body is thrown vertically upwards from A, the top of a tower. It reaches the ground in time t 1 t_1 . If it is thrown vertically downwards from A with the same speed, it reaches the ground in time t 2 t_2 . If it is allowed to fall freely from A, then the time taken to reach the ground is given by?

t = t 1 t 2 t = \sqrt {t_1t_2} t = t 1 + t 2 2 t = \dfrac{t_1 + t_2}{2} t = t 1 t 2 t = \sqrt{\dfrac{t_1}{ t_2}} t = t 1 − t 2 2 t = \dfrac{t_1 - t_2}{2}

Anik Mandal by Anik Mandal , 21, India

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