# Zero Gravity

**Classical Mechanics**Level 2

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.