# Zero Gravity

A body is dropped from height $h$ meters. The gravitational field is nullified after the body travels half the distance. Concretely, when the body reaches $h/2$, then $g \rightarrow 0$. Find an expression for the time taken by the body to reach the ground.

If you get the answer as $\frac { a }{ b } \sqrt { \frac { h }{ g } }$, where $a$ and $b$ are coprime integers, find ${ (a+b) }^{ 3 }-1$

Given that $a$ and $b$ are co prime natural numbers.

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