A Freely Falling Body, Falling From A Tower Of Height h covers A Distanceh/2 In The Last Second Of Its Motion. The Height Of The Tower Is (take G = 10 Ms–2) Nearly

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Question

A freely falling body, falling from a tower of height h covers a distanceh/2 in the last second of its motion. The height of the tower is (take g = 10 ms^–2) nearly

58 m
50 m
60 m
55 m

easy

Solution

Correct option is

58 m

.

Hence h is given by

Simplifying and putting g = 10 ms^–2, we get

The positive roof of this quadratic gives h = 58 m.

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